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Gariboldi, Claudia M.; Tarzia, Domingo A.

A review of optimal control problems for elliptic variational and hemivariational inequalities and their asymptotic behaviors. (English) Zbl 07928431

Migórski, Stanisław (ed.) et al., Nonsmooth problems with applications in mechanics. Selected papers based on the presentations of the conference, Będlewo, Poland, June 17–22, 2023. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 127, 59-88 (2024).

MSC: 49J40 49J20 49J45 35J05 35J65 35J87 35R35

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Lamaizi, A.; Zerouali, A.; Chakrone, O.; Karim, B.

Global existence and blow-up of solutions for a class of Steklov parabolic problems. (English) Zbl 07905328

Bol. Soc. Parana. Mat. (3) 42, Paper No. 49, 12 p. (2024).

MSC: 35K55 35K61 35J05

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Durdiev, Durdimurod K.; Suyarov, Tursunbek R.

Inverse coefficient problem for the 2D wave equation with initial and nonlocal boundary conditions. (English) Zbl 07896370

Vladikavkaz. Mat. Zh. 26, No. 2, 5-25 (2024).

MSC: 35P05 47F05 35A01 35A24 35J05 35P30

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Prabhune, Bhagyashree; Suresh, Krishnan

An isoparametric tangled finite element method for handling higher-order elements with negative Jacobian. (English) Zbl 07833376

Comput. Mech. 73, No. 1, 159-176 (2024).

MSC: 74S05 74K10 74M15

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Fink, Leonie; Hettlich, Frank

The domain derivative in inverse obstacle scattering with nonlinear impedance boundary condition. (English) Zbl 1529.35152

Inverse Probl. 40, No. 1, Article ID 015001, 22 p. (2024).

MSC: 35J05 35R30

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Demidov, Aleksander S.

On explicit numerically realizable formulae for Poincaré-Steklov operators. (English. Russian original) Zbl 1540.35124

Russ. Math. Surv. 78, No. 6, 1158-1160 (2023); translation from Usp. Mat. Nauk 78, No. 6, 181-182 (2023).

MSC: 35J05 65J15

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Gnevyshev, Vladimir; Badulin, Sergei

Deep water waves from oscillating elliptic source. (English) Zbl 1537.76018

Water Waves 5, No. 2-3, 239-256 (2023).

Reviewer: Denys Dutykh (Le Bourget-du-Lac)

MSC: 76B15 76M45 86A05

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Apushkinskiy, E. G.; Kozhevnikov, V. A.; Biryukov, A. M.

Comparison of approximate and numerical methods for solving the homogeneous Dirichlet problem for the Helmholtz operator in a two-dimensional domain. (English) Zbl 1531.65263

Lobachevskii J. Math. 44, No. 9, 3989-3997 (2023).

MSC: 65N35 65N30 65N06 35J05 35J25 35B38 33C10 78A60 35Q60

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Glushak, A. V.

On the solvability of boundary value problems for an abstract singular equations on a finite interval. (English) Zbl 1533.34052

Lobachevskii J. Math. 44, No. 8, 3298-3308 (2023).

MSC: 34G10 34B16

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Chau, Albert; Weinkove, Ben

Concavity of solutions to semilinear equations in dimension two. (English) Zbl 1527.35151

Bull. Lond. Math. Soc. 55, No. 2, 706-716 (2023).

Reviewer: Tobias König (Frankfurt am Main)

MSC: 35J91 35J05

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Betsakos, Dimitrios; Solynin, Alexander

Temperature on rods with Robin boundary conditions. (English) Zbl 1531.34042

J. Math. Anal. Appl. 528, No. 2, Article ID 127578, 16 p. (2023).

Reviewer: José Angel Cid Araujo (Ourense)

MSC: 34B60 34B15

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Ait Temghart, S.; El Hammar, H.; Allalou, C.; Hilal, K.

Existence of weak solutions for a class of (p(b(u)), q(b(u)))-Laplacian problems. (English) Zbl 1524.35232

Nonlinear Dyn. Syst. Theory 23, No. 1, 107-118 (2023).

MSC: 35J60 35J05 35-XX 35Kxx

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Ketov, I. V.; Spiridonov, A. O.; Repina, A. I.; Karchevskii, E. M.

Numerical modeling of lattice modes of photonic-crystal lasers by Galerkin method with exact matrix elements. (English) Zbl 1520.78041

Lobachevskii J. Math. 44, No. 1, 325-340 (2023).

MSC: 78A60 35Q61 35P30 65F15 35J05 35R09 45F05

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Quan Pham Hoang; Hieu Phan Trung; Canh Vo Van

Regularizing a final value problem for nonlinear modified Helmholtz equation with randomly perturbed data. (English) Zbl 1509.35115

Appl. Anal. 102, No. 2, 610-634 (2023).

MSC: 35J05 47A52 62G08

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An, Jinmyong; Ryu, Pyongjo; Kim, Jinmyong

Small data global well-posedness for the inhomogeneous biharmonic NLS in Sobolev spaces. (English) Zbl 1512.35528

Discrete Contin. Dyn. Syst., Ser. B 28, No. 4, 2789-2802 (2023).

MSC: 35Q55 35Q41 78A60 35B65 35A01 35A02 31A30

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Sato, Tomohiko; Suzuki, Takashi

Morse indices of the solutions to the inhomogeneous elliptic equation with exponentially dominated nonlinearities. (English) Zbl 1512.35178

Ann. Mat. Pura Appl. (4) 202, No. 2, 551-599 (2023).

MSC: 35J05 35J91 35P30 35B40

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Akyel, Tŭgba; Lanza de Cristoforis, Massimo

Microscopic behavior of the solutions of a transmission problem for the Helmholtz equation. A functional analytic approach. (English) Zbl 07858074

Stud. Univ. Babeș-Bolyai, Math. 67, No. 2, 383-402 (2022).

MSC: 35J05 35R30 41A60 45F15 47H30 78A30

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Sadio, Guillaume Itbadio; Seck, Aliou; Seck, Diaraf

Numerical and theoretical analysis for optimal shape inverse problems. (English) Zbl 1534.35092

Seck, Diaraf (ed.) et al., Nonlinear analysis, geometry and applications. Proceedings of the second NLAGA-BIRS symposium, Cap Skirring, Senegal, January 25–30, 2022. Cham: Springer. Trends Math., 275-315 (2022).

MSC: 35J05 35J25 35K55 35R35 35R30

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Li, Lili; Li, Jianliang

Recovery of an infinite rough surface by a nonlinear integral equation method from phaseless near-field data. (English) Zbl 1502.65287

J. Inverse Ill-Posed Probl. 30, No. 5, 743-758 (2022).

MSC: 65R32 35J05 35P25 35R30 78A46 45Q05

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Kotoulas, Thomas

A nonlinear PDE for families of orbits on a given surface. (English) Zbl 1497.35020

J. Nonlinear Math. Phys. 29, No. 3, 601-625 (2022).

MSC: 35A30 70G45

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Prykarpatskyy, Yarema; Vovk, Myroslava; Pukach, Petro

Operator-valued Camassa-Holm systems and their integrability. (English) Zbl 1495.35011

Lett. Math. Phys. 112, No. 4, Paper No. 73, 10 p. (2022).

MSC: 35A30 35G25 35N10 37K35 58J70 58J72 34A34

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Dong, Heping; Zhang, Deyue; Chi, Yingwei

An iterative scheme for imaging acoustic obstacle from phaseless total-field data. (English) Zbl 1494.65093

Inverse Probl. Imaging 16, No. 4, 925-942 (2022).

MSC: 65N21 65N20 76Q05 78A46 65K10 65F20 65F22 65R20 35J05 65J20 35R30 35R25 35Q35

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Gutlyanskiĭ, V. Ya.; Nesmelova, O. V.; Ryazanov, V. I.; Yefimushkin, A. S.

Dirichlet problem with measurable data for semilinear equations in the plane. (English) Zbl 1499.30253

Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2022, No. 1, 11-19 (2022).

MSC: 30D20 30E25 35J91 35J25

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Fourti, Habib

New existence results for prescribed mean curvature problem on balls under pinching conditions. (English) Zbl 1491.35136

Differ. Geom. Appl. 83, Article ID 101901, 17 p. (2022).

MSC: 35J05 35J65 35A01 35A15

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Yang, Xuefei; Zhou, Bin; Lam, James

Stabilisation of quadrotor aircraft with constrained controls. (English) Zbl 1490.93099

Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 53, No. 6, 1245-1259 (2022).

MSC: 93D05 93C85 93B52

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Li, Luen-Chau

Factorization problems on rational loop groups, and the Poisson geometry of Yang-Baxter maps. (English) Zbl 1493.16039

Math. Phys. Anal. Geom. 25, No. 1, Paper No. 6, 51 p. (2022).

MSC: 16T99 16T25 35Q55 37J39

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Kan, Toru; Magnanini, Rolando; Onodera, Michiaki

Backus problem in geophysics: a resolution near the dipole in fractional Sobolev spaces. (English) Zbl 1486.35150

NoDEA, Nonlinear Differ. Equ. Appl. 29, No. 3, Paper No. 21, 29 p. (2022).

MSC: 35J05 35J65 86A25

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Wu, Qiwei; Li, Yeping; Xu, Rui

Large-time behavior of solutions to bipolar Euler-Poisson equations with time-dependent damping in the half space. (English) Zbl 1507.35274

J. Math. Anal. Appl. 508, No. 2, Article ID 125899, 37 p. (2022).

MSC: 35Q60 35B65 35B20 35B40 35A01 82D37

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Bae, Junsik; Kwon, Bongsuk

Linear stability of solitary waves for the isothermal Euler-Poisson system. (English) Zbl 1507.35162

Arch. Ration. Mech. Anal. 243, No. 1, 257-327 (2022).

MSC: 35Q35 35Q31 35Q53 76B25 76X05 76W05 76E25 76E30 78A30 35C08 35P15 35B40

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Weimar, Markus

On the lack of Interior regularity of the \(p\)-Poisson problem with \(p > 2\). (English) Zbl 1523.35097

Math. Nachr. 294, No. 6, 1186-1205 (2021).

MSC: 35B65 35J92 41A46 46E35

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Popivanov, Petar; Slavova, Angela

Construction of radial and non-radial solutions for local and non-local equations of Liouville type. (English) Zbl 1499.35197

C. R. Acad. Bulg. Sci. 74, No. 10, 1442-1452 (2021).

Reviewer: Ivan Landjev (Sofia)

MSC: 35J05 35J65 35B05

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Başakoğlu, Engin

Regularity properties of the cubic biharmonic Schrödinger equation on the half line. (English) Zbl 1483.35197

SN Partial Differ. Equ. Appl. 2, No. 4, Paper No. 52, 37 p. (2021).

MSC: 35Q55 35B65 35G30 31A30

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Kuznetsov, N. V.; Lobachev, M. Yu.; Yuldashev, M. V.; Yuldashev, R. V.; Volskiy, S. I.; Sorokin, D. A.

On the generalized Gardner problem for phase-locked loops in electrical grids. (English. Russian original) Zbl 1478.93471

Dokl. Math. 103, No. 3, 157-161 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 498, 71-75 (2021).

MSC: 93D05 93C80 93B52 93C10

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Petrov, A. G.

Areas of attraction of a pendulum under the influence of oblique vibration of a suspension point. (English. Russian original) Zbl 1476.93134

Vestn. St. Petersbg. Univ., Math. 54, No. 3, 273-281 (2021); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 8(66), No. 3, 511-522 (2021).

MSC: 93D05 93C20 70K20 35R30

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Vo Anh Khoa; Bidney, Grant W.; Klibanov, Michael V.; Nguyen, Loc H.; Nguyen, Lam H.; Sullivan, Anders J.; Astratov, Vasily N.

An inverse problem of a simultaneous reconstruction of the dielectric constant and conductivity from experimental backscattering data. (English) Zbl 1478.78033

Inverse Probl. Sci. Eng. 29, No. 5, 712-735 (2021).

MSC: 78A46 65N21 35J05 35J65 42B05 78-05 35R30 35Q60

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Fourti, Habib

Convergence for a planar elliptic problem with large exponent Neumann data. (English) Zbl 1466.35199

J. Math. Anal. Appl. 502, No. 1, Article ID 125200, 21 p. (2021).

MSC: 35J65 35J05 35B40

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Abdelhak, Hadj; Saker, Hacene

Corrigendum to: “Integral equations method for solving a biharmonic inverse problem in detection of Robin coefficients”. (English) Zbl 1472.31006

Appl. Numer. Math. 161, 147 (2021).

MSC: 31A30 35J40 35R30

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Kirsch, Andreas

An introduction to the mathematical theory of inverse problems. 3rd updated edition. (English) Zbl 1456.35001

Applied Mathematical Sciences 120. Cham: Springer (ISBN 978-3-030-63342-4/hbk; 978-3-030-63345-5/pbk; 978-3-030-63343-1/ebook). xvii, 400 p. (2021).

MSC: 35-02 35R30 65J20 34B24 35P25 65J10 65J15 35J05

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Chen, Juan; Tepljakov, Aleksei; Petlenkov, Eduard; Chen, YangQuan; Zhuang, Bo

State and output feedback boundary control of time fractional PDE-fractional ODE cascades with space-dependent diffusivity. (English) Zbl 1542.93116

IET Control Theory Appl. 14, No. 20, 3589-3600 (2020).

MSC: 93B52 93C20 93C15 26A33 93B53 93D05

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Zhang, Lin; Chen, Hong; Huang, Yanjun; Guo, Hongyan; Sun, Haobo; Ding, Haitao; Wang, Nian

Model predictive control for integrated longitudinal and lateral stability of electric vehicles with in-wheel motors. (English) Zbl 1542.93101

IET Control Theory Appl. 14, No. 18, 2741-2751 (2020).

MSC: 93B45 93B18 93D05

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Li, You’ai

Effects of anisotropy of grids on both upper and tower bounds and accuracy of eigenvalues by the nonconforming rotated \(Q1\) element. (Chinese. English summary) Zbl 1474.35503

Math. Pract. Theory 50, No. 22, 226-232 (2020).

MSC: 35P05 35P30 35J05

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Liu, Ke; Du, Xinsheng

Existence of ground state solutions of Nehari-Pohozaev type for fractional Schrödinger-Poisson systems with a general potential. (English) Zbl 1463.35464

J. Qufu Norm. Univ., Nat. Sci. 46, No. 3, 25-34 (2020).

MSC: 35Q55 35R11

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Odzijewicz, Anatol

Perturbed \((2n - 1)\)-dimensional Kepler problem and the nilpotent adjoint orbits of \(\operatorname{U}(n, n)\). (English) Zbl 1461.53062

SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 087, 23 p. (2020).

Reviewer: Maxime Fairon (Glasgow)

MSC: 53D17 53D20 53D22 70H06

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Spiridonov, Alexander O.; Oktyabrskaya, Alina; Karchevskii, Evgenii M.; Nosich, Alexander I.

Mathematical and numerical analysis of the generalized complex-frequency eigenvalue problem for two-dimensional optical microcavities. (English) Zbl 1452.65318

SIAM J. Appl. Math. 80, No. 4, 1977-1998 (2020).

MSC: 65N25 65N35 65N38 65N80 78A60 35J05

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Buterin, Sergey

On a transformation operator approach in the inverse spectral theory of integral and integro-differential operators. (English) Zbl 1467.45022

Kravchenko, Vladislav V. (ed.) et al., Transmutation operators and applications. Cham: Birkhäuser. Trends Math., 337-367 (2020).

MSC: 45P05 45G15 45J05 35Q05 47G20

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Cui, Shangbin

On the Banach manifold of simple domains in the Euclidean space and applications to free boundary problems. (English) Zbl 1448.58003

Acta Appl. Math. 167, 117-148 (2020).

MSC: 58B10 35J05 35R35 47J35

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de Souza, Manassés

Compactness for a class of Yamabe-type problems on manifolds with boundary. (English) Zbl 1437.35174

J. Differ. Equations 269, No. 4, 3119-3159 (2020).

MSC: 35J05 35J65 58J05

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Chipot, Michel; Droniou, Jérôme; Planas, Gabriela; Robinson, James C.; Xue, Wei

Limits of the Stokes and Navier-Stokes equations in a punctured periodic domain. (English) Zbl 1439.35392

Anal. Appl., Singap. 18, No. 2, 211-235 (2020).

MSC: 35Q35 35B20 35B40 35J05 35J25 35K20 35K55 76D05 76D07

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He, Hongjun; Pang, Zhifeng

A modified Schrödinger-type identity: uniqueness of solutions for singular boundary value problem for the Schrödinger equation. (English) Zbl 1524.35257

Bound. Value Probl. 2019, Paper No. 147, 20 p. (2019).

MSC: 35J65 35A02 35B35 35J05

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Grote, Marcus J.; Nahum, Uri

Adaptive eigenspace for multi-parameter inverse scattering problems. (English) Zbl 1442.49032

Comput. Math. Appl. 77, No. 12, 3264-3280 (2019).

MSC: 49K45 35J05 35J25 35P25 35R30 78A46

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Bin-Mohsin, B.; Lesnic, D.

Reconstruction of inner boundaries subjected to generalized impedance boundary conditions for the modified Helmholtz equation. (English) Zbl 1434.65229

Appl. Comput. Math. 18, No. 3, 272-287 (2019).

MSC: 65N21 65N35 65N80 65N20 65J20 65K10 35J05 35K57

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Lanza de Cristoforis, Massimo; Musolino, Paolo

Asymptotic behaviour of the energy integral of a two-parameter homogenization problem with nonlinear periodic Robin boundary conditions. (English) Zbl 1439.35154

Proc. Edinb. Math. Soc., II. Ser. 62, No. 4, 985-1016 (2019).

Reviewer: Davide Buoso (Alessandria)

MSC: 35J25 31B10 45A05 47H30

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Barucq, Hélène; Chavent, Guy; Faucher, Florian

A priori estimates of attraction basins for nonlinear least squares, with application to Helmholtz seismic inverse problem. (English) Zbl 1427.35015

Inverse Probl. 35, No. 11, Article ID 115004, 30 p. (2019).

MSC: 35J05 35R30 65J15

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Liu, Chein-Shan; Chang, Chih-Wen

Solving the inverse conductivity problems of nonlinear elliptic equations by the superposition of homogenization functions method. (English) Zbl 1524.35757

Appl. Math. Lett. 94, 272-278 (2019).

MSC: 35R30 65N21 35-02 35J05 35Q60

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Messaoud, Ramzi Ben; Hajji, Salah

Observer for nonlinear systems with unknown input using mean value theorem and genetic algorithm. (English) Zbl 1405.93048

Optim. Control Appl. Methods 39, No. 6, 1904-1915 (2018).

MSC: 93B07 90C59 93C10 93D05 93C41 68T20

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Gómez, D.; Lobo, M.; Pérez, E.; Sanchez-Palencia, E.

Homogenization in perforated domains: a Stokes grill and an adsorption process. (English) Zbl 1402.35032

Appl. Anal. 97, No. 16, 2893-2919 (2018).

MSC: 35B27 35C20 76D05 35J65 35B40 35Q35 35J05

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Borisov, A. V.; García-Naranjo, L. C.; Mamaev, I. S.; Montaldi, J.

Reduction and relative equilibria for the two-body problem on spaces of constant curvature. (English) Zbl 1396.70011

Celest. Mech. Dyn. Astron. 130, No. 6, Paper No. 43, 36 p. (2018).

MSC: 70F05 70K42 70G45 37N05 37J20

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Claeys, Tom; Doeraene, Antoine

The generating function for the Airy point process and a system of coupled Painlevé II equations. (English) Zbl 1419.37063

Stud. Appl. Math. 140, No. 4, 403-437 (2018).

Reviewer: Johanna Michor (Wien)

MSC: 37K10 15B52 60B20 34M55 35Q55 60G55

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Lai, Jun; Li, Ming; Li, Peijun; Li, Wei

A fast direct imaging method for the inverse obstacle scattering problem with nonlinear point scatterers. (English) Zbl 1397.78035

Inverse Probl. Imaging 12, No. 3, 635-665 (2018).

MSC: 78A46 78M15 65N21 35J05 65T50 35Q60 78A05

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Breckner, Brigitte E.; Varga, Csaba

An application of a fixed-point theorem to Neumann problems on the Sierpinski fractal. (English) Zbl 1396.28009

Fixed Point Theory 19, No. 2, 475-486 (2018).

MSC: 28A80 35J05 35J25 35J60 47H10

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Its, A. R.; Lisovyy, O.; Prokhorov, A.

Monodromy dependence and connection formulae for isomonodromic tau functions. (English) Zbl 1396.33039

Duke Math. J. 167, No. 7, 1347-1432 (2018).

Reviewer: Lalit Mohan Upadhyaya (Mussoorie)

MSC: 33E17 34E05 34E10 34M35 34M40 34M55 34M56

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Ahmedatt, Taghi; Aberqi, Ahmed; Touzani, Abedlfettah; Yazough, Chihab

On some nonlinear hyperbolic \(p(x,t)\)-Laplacian equations. (English) Zbl 1391.35284

J. Appl. Anal. 24, No. 1, 55-69 (2018).

MSC: 35L86 35J05

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Iacopetti, Alessandro; Vaira, Giusi

Sign-changing blowing-up solutions for the Brezis-Nirenberg problem in dimensions four and five. (English) Zbl 1394.35143

Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 18, No. 1, 1-38 (2018).

Reviewer: Dumitru Motreanu (Juiz de Fora)

MSC: 35J05 35J60 35P20

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Kleefeld, Andreas; Pieronek, Lukas

The method of fundamental solutions for computing acoustic interior transmission eigenvalues. (English) Zbl 1404.65245

Inverse Probl. 34, No. 3, Article ID 035007, 28 p. (2018).

MSC: 65N25 35J05 65N80 76Q05 65F15

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Ouaro, Stanislas; Soma, Safimba

Nonlinear elliptic problem involving non-local boundary conditions and variable exponent. (English) Zbl 1387.35127

Complex Var. Elliptic Equ. 63, No. 3, 437-461 (2018).

MSC: 35J05 35J25 35J60 35J66

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Coca, Alberto J.

Efficient nonparametric inference for discretely observed compound Poisson processes. (English) Zbl 1383.62081

Probab. Theory Relat. Fields 170, No. 1-2, 475-523 (2018).

MSC: 62G05 60G51 60F05 62G07 62G20

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Lanza de Cristoforis, Massimo; Musolino, Paolo

Two-parameter homogenization for a nonlinear periodic Robin problem for the Poisson equation: a functional analytic approach. (English) Zbl 1393.35031

Rev. Mat. Complut. 31, No. 1, 63-110 (2018).

Reviewer: Giovanni Anello (Messina)

MSC: 35J25 35J05

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Araujo-Cabarcas, Juan Carlos; Engström, Christian; Jarlebring, Elias

Efficient resonance computations for Helmholtz problems based on a Dirichlet-to-Neumann map. (English) Zbl 1376.65142

J. Comput. Appl. Math. 330, 177-192 (2018).

MSC: 65N25 35P30 35J05 78A45 78M10 35N30 65N12

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Laurençot, Philippe; Walker, Christoph

Some singular equations modeling MEMS. (English) Zbl 1456.35193

Bull. Am. Math. Soc., New Ser. 54, No. 3, 437-479 (2017).

Reviewer: Ramón Quintanilla De Latorre (Barcelona)

MSC: 35Q74 35R35 35M33 35K91 35B44 35B65 78A30 74F15 74B20 74K10 35J05 35A01 35A02

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Bin-Mohsin, B.; Lesnic, D.

Reconstruction of a source domain from boundary measurements. (English) Zbl 1446.65148

Appl. Math. Modelling 45, 925-939 (2017).

MSC: 65N21 35J05 35R30

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Liu, Haiyan; Wang, Zongshui; Wang, Shouyang

Evolution and development of system science and engineering research. (Chinese. English summary) Zbl 1399.93001

J. Syst. Eng. 32, No. 3, 289-304, 345 (2017).

MSC: 93-03 93C10 93D05 68T20 68T05 01A90 01A60 01A61

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Feng, Wensen; Qiao, Peng; Xi, Xuanyang; Chen, Yunjin

Image denoising via multiscale nonlinear diffusion models. (English) Zbl 1391.35217

SIAM J. Imaging Sci. 10, No. 3, 1234-1257 (2017).

MSC: 35K57 34E13 94A08 68T05 49J40 49N45 68T20

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Pearson, John W.; Gondzio, Jacek

Fast interior point solution of quadratic programming problems arising from PDE-constrained optimization. (English) Zbl 1379.65042

Numer. Math. 137, No. 4, 959-999 (2017).

Reviewer: Nada Djuranović-Miličić (Belgrade)

MSC: 65K10 65F08 93C20 90C20 90C51 49J20 49M37 49M15

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Attouchi, Amal; Parviainen, Mikko; Ruosteenoja, Eero

\(C^{1,\alpha}\) regularity for the normalized \(p\)-Poisson problem. (English. French summary) Zbl 1375.35170

J. Math. Pures Appl. (9) 108, No. 4, 553-591 (2017).

MSC: 35J60 35B65 35J92

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Karimi, Milad; Rezaee, Alireza

Regularization of the Cauchy problem for the Helmholtz equation by using Meyer wavelet. (English) Zbl 1375.35106

J. Comput. Appl. Math. 320, 76-95 (2017).

MSC: 35J05 65F22 65T60 47J06

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Hong, John M.; Quita, Reyna Marsya

Approximation of generalized Riemann solutions to compressible Euler-Poisson equations of isothermal flows in spherically symmetric space-times. (English) Zbl 1370.35204

Tamkang J. Math. 48, No. 1, 73-94 (2017).

MSC: 35L60 35L65 35L67 35L50 35Q31

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Chen, Sitong; Peng, Jiawu; Tang, Xianhua

Ground state solutions for asymptotically periodic fractional Schrödinger-Poisson problems with asymptotically cubic or super-cubic nonlinearities. (English) Zbl 1375.35101

Math. Methods Appl. Sci. 40, No. 13, 4948-4961 (2017).

MSC: 35J05 35J10 35J60 35R11

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Crestel, Benjamin; Alexanderian, Alen; Stadler, Georg; Ghattas, Omar

A-optimal encoding weights for nonlinear inverse problems, with application to the Helmholtz inverse problem. (English) Zbl 1370.65064

Inverse Probl. 33, No. 7, Article ID 074008, 25 p. (2017).

MSC: 65N21 35J05 65N75 62K05

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Kutyniok, Gitta; Mehrmann, Volker; Petersen, Philipp C.

Regularization and numerical solution of the inverse scattering problem using shearlet frames. (English) Zbl 1365.65244

J. Inverse Ill-Posed Probl. 25, No. 3, 287-309 (2017).

MSC: 65N22 35P25 35J05 65T60 35Q55

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Li, Bin; Yang, Han

The modified quantum Wigner system in weighted \(L^2\)-space. (English) Zbl 1366.35151

Bull. Aust. Math. Soc. 95, No. 1, 73-83 (2017).

Reviewer: Alessandro Selvitella (Hamilton)

MSC: 35Q40 35K55 35J60 47B44 35A01 35A02 35B45

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Ammar, Siwar; Hammami, Mokhless; Ismail, Houria

Sign-changing bubble for Neumann problem with critical nonlinearity on the boundary. (English) Zbl 1368.35074

Math. Methods Appl. Sci. 40, No. 4, 896-914 (2017).

MSC: 35J05 35J65

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Isakari, Hiroshi; Takahashi, Toru; Matsumoto, Toshiro

Periodic band structure calculation by the Sakurai-Sugiura method with a fast direct solver for the boundary element method with the fast multipole representation. (English) Zbl 1403.65201

Eng. Anal. Bound. Elem. 68, 42-53 (2016).

MSC: 65N38 65N25 35J05

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Gravejat, Philippe; Hainzl, Christian; Lewin, Mathieu; Séré, Éric

Two effective models for the Dirac vacuum in electromagnetic fields. (Deux modèles effectifs pour les champs électromagnétiques dans le vide de Dirac.) (French) Zbl 1362.35247

Sémin. Laurent Schwartz, EDP Appl. 2015-2016, Exp. No. 14, 20 p. (2016).

Reviewer: Alain Brillard (Riedisheim)

MSC: 35Q40 81V10 78A25

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Karalashvili, Liana

Interpolation method of Shalva Mikeladze with following applications. (English) Zbl 1355.65088

Pinelas, Sandra (ed.) et al., Differential and difference equations with applications. ICDDEA, Amadora, Portugal, May 18–22, 2015. Selected contributions. Cham: Springer (ISBN 978-3-319-32855-3/hbk; 978-3-319-32857-7/ebook). Springer Proceedings in Mathematics & Statistics 164, 235-244 (2016).

MSC: 65L05 65L10 34A30 34A34 65L15 65N40 35J05 65N06

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Xiang, Ni; Shi, Juhua; Xu, Jinju; Wu, Yan

The gradient estimates of Laplace equations with oblique boundary value problem. (Chinese. English summary) Zbl 1363.35090

Acta Math. Sci., Ser. A, Chin. Ed. 36, No. 3, 481-492 (2016).

MSC: 35J05 35J65

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Ruas, Vitoriano

Numerical methods for partial differential equations. An introduction. With an errata sheet prepared by the author. (English) Zbl 1350.65100

Hoboken, NJ: John Wiley & Sons (ISBN 978-1-119-11135-1/hbk). xxxiii, 300 p. (2016).

Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca)

MSC: 65M22 65N22 65-01 65F05 65M06 65M08 65M12 65M60 65N06 65N08 65N12 65N30 65N50 35-01 74B05 76D05 65L10 34B15 35J05 35K05 35L05

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Xie, Dexuan; Ying, Jinyong

A new box iterative method for a class of nonlinear interface problems with application in solving Poisson-Boltzmann equation. (English) Zbl 1348.65170

J. Comput. Appl. Math. 307, 319-334 (2016).

MSC: 65N30 65N06 35J60 35Q20 65N55 78A30 78M10 78M20

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Ji, Haifeng; Chen, Jinru; Li, Zhilin

Augmented immersed finite element methods for some elliptic partial differential equations. (English) Zbl 1341.65046

Int. J. Comput. Math. 93, No. 3, 540-558 (2016).

Reviewer: Abdallah Bradji (Annaba)

MSC: 65N30 65N15 35J60 35J05 35R05

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Afrouzi, Ghasem A.; Mirzapour, M.; Rădulescu, Vicenţiu D.

Nonlocal fourth-order Kirchhoff systems with variable growth: low and high energy solutions. (English) Zbl 1343.35100

Collect. Math. 67, No. 2, 207-223 (2016); erratum ibid. 67, No. 2, 225-226 (2016).

Reviewer: S. G. Pyatkov (Khanty-Mansiysk)

MSC: 35J50 35J05 35J60 35B30 35B40 58E05 35D30

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Du, Miao; Tian, Lixin; Wang, Jun; Zhang, Fubao

Existence and asymptotic behavior of solutions for nonlinear Schrödinger-Poisson systems with steep potential well. (English) Zbl 1345.35099

J. Math. Phys. 57, No. 3, 031502, 19 p. (2016).

Reviewer: Thomas J. Bartsch (Gießen)

MSC: 35Q55 35J47 35B40 35J50

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Wei, Guoliang; Wang, Zidong; Qian, Wei

Nonlinear stochastic control and filtering with engineering-oriented complexities. (English) Zbl 1369.93001

Engineering Systems and Sustainability Series. Boca Raton, FL: CRC Press (ISBN 978-1-4987-6074-4/hbk; 978-1-4987-6075-1/ebook). xxii, 250 p. (2016).

Reviewer: Mikhail P. Moklyachuk (Kyïv)

MSC: 93-02 93E03 93C10 93C95 93D05 93B05 93B36 93E11 93E15 62M20 60J20 93D09

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Pagani, Carlo D.; Pierotti, Dario; Pistoia, Angela; Vaira, Giusi

Concentration along geodesics for a nonlinear Steklov problem arising in corrosion modeling. (English) Zbl 1336.35161

SIAM J. Math. Anal. 48, No. 2, 1085-1108 (2016).

MSC: 35J65 35J05 58E05

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Petrişor, Camelia

Stabilization of a nonlinear control system on the Lie group \(\mathrm{SO}(3)\times \mathbb R^3 \times \mathbb R^3\). (English) Zbl 1335.34098

J. Nonlinear Sci. Appl. 9, No. 5, 2019-2030 (2016).

MSC: 34H15 65L99

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Liu, Chein-Shan

A non-typical Lie-group integrator to solve nonlinear inverse Cauchy problem in an arbitrary doubly-connected domain. (English) Zbl 1443.65296

Appl. Math. Modelling 39, No. 13, 3862-3875 (2015).

MSC: 65N21 35J05 35R25 35R30

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Popivanov, Petar

On a nonstandard boundary value problem for the Laplace operator in the plane. (English) Zbl 1363.35135

PLISKA, Stud. Math. 25, 129-136 (2015).

MSC: 35J66 35A09 35D30 35J05

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Cui, Xiaohong; Wang, Di; Liu, Subing; Chai, Baojie

Optimal tracking control based on approximate dynamic programming for unknown system. (Chinese. English summary) Zbl 1349.93095

Math. Pract. Theory 45, No. 11, 266-274 (2015).

MSC: 93B30 93C10 92B20 90C39 93D05

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Wang, Chunli; Chen, Lan; Ma, Heping

Legendre-Galerkin-Chebyshev collocation method for Schrödinger eigenvalue problem. (Chinese. English summary) Zbl 1349.65608

Commun. Appl. Math. Comput. 29, No. 4, 486-495 (2015).

MSC: 65N25 65N35 35P15 35P30 35Q55

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Hichar, S.; Guerfi, A.; Douis, S.; Meftah, M. T.

Application of nonlinear Bratu’s equation in two and three dimensions to electrostatics. (English) Zbl 1332.78007

Rep. Math. Phys. 76, No. 3, 283-290 (2015).

MSC: 78A30 35Q60

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Salem, W. Abou; Chen, T.; Vougalter, V.

Arrest of blow-up for the 3d semi-relativistic Schrödinger-Poisson system with pseudo-relativistic diffusion. (English) Zbl 1342.82137

Rev. Math. Phys. 27, No. 10, Article ID 1550023, 18 p. (2015).

Reviewer: Iván Abonyi (Budapest)

MSC: 82D10 82C10 35Q55 35Q40 35B44 26A33

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Xiong, Ming; Yang, Zeheng; Wang, Pengde

On a jumping boundary value problem in the half-space. (Chinese. English summary) Zbl 1340.35064

Acta Math. Appl. Sin. 38, No. 4, 586-596 (2015).

MSC: 35J65 35J25 35J05

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Found 482 Documents (Results 1–100)

A review of optimal control problems for elliptic variational and hemivariational inequalities and their asymptotic behaviors. (English) Zbl 07928431

Global existence and blow-up of solutions for a class of Steklov parabolic problems. (English) Zbl 07905328

Inverse coefficient problem for the 2D wave equation with initial and nonlocal boundary conditions. (English) Zbl 07896370

An isoparametric tangled finite element method for handling higher-order elements with negative Jacobian. (English) Zbl 07833376

The domain derivative in inverse obstacle scattering with nonlinear impedance boundary condition. (English) Zbl 1529.35152

On explicit numerically realizable formulae for Poincaré-Steklov operators. (English. Russian original) Zbl 1540.35124

Deep water waves from oscillating elliptic source. (English) Zbl 1537.76018

Comparison of approximate and numerical methods for solving the homogeneous Dirichlet problem for the Helmholtz operator in a two-dimensional domain. (English) Zbl 1531.65263

On the solvability of boundary value problems for an abstract singular equations on a finite interval. (English) Zbl 1533.34052

Concavity of solutions to semilinear equations in dimension two. (English) Zbl 1527.35151

Temperature on rods with Robin boundary conditions. (English) Zbl 1531.34042

Existence of weak solutions for a class of (p(b(u)), q(b(u)))-Laplacian problems. (English) Zbl 1524.35232

Numerical modeling of lattice modes of photonic-crystal lasers by Galerkin method with exact matrix elements. (English) Zbl 1520.78041

Regularizing a final value problem for nonlinear modified Helmholtz equation with randomly perturbed data. (English) Zbl 1509.35115

Small data global well-posedness for the inhomogeneous biharmonic NLS in Sobolev spaces. (English) Zbl 1512.35528

Morse indices of the solutions to the inhomogeneous elliptic equation with exponentially dominated nonlinearities. (English) Zbl 1512.35178

Microscopic behavior of the solutions of a transmission problem for the Helmholtz equation. A functional analytic approach. (English) Zbl 07858074

Numerical and theoretical analysis for optimal shape inverse problems. (English) Zbl 1534.35092

Recovery of an infinite rough surface by a nonlinear integral equation method from phaseless near-field data. (English) Zbl 1502.65287

A nonlinear PDE for families of orbits on a given surface. (English) Zbl 1497.35020

Operator-valued Camassa-Holm systems and their integrability. (English) Zbl 1495.35011

An iterative scheme for imaging acoustic obstacle from phaseless total-field data. (English) Zbl 1494.65093

Dirichlet problem with measurable data for semilinear equations in the plane. (English) Zbl 1499.30253

New existence results for prescribed mean curvature problem on balls under pinching conditions. (English) Zbl 1491.35136

Stabilisation of quadrotor aircraft with constrained controls. (English) Zbl 1490.93099

Factorization problems on rational loop groups, and the Poisson geometry of Yang-Baxter maps. (English) Zbl 1493.16039

Backus problem in geophysics: a resolution near the dipole in fractional Sobolev spaces. (English) Zbl 1486.35150

Large-time behavior of solutions to bipolar Euler-Poisson equations with time-dependent damping in the half space. (English) Zbl 1507.35274

Linear stability of solitary waves for the isothermal Euler-Poisson system. (English) Zbl 1507.35162

On the lack of Interior regularity of the \(p\)-Poisson problem with \(p > 2\). (English) Zbl 1523.35097

Construction of radial and non-radial solutions for local and non-local equations of Liouville type. (English) Zbl 1499.35197

Regularity properties of the cubic biharmonic Schrödinger equation on the half line. (English) Zbl 1483.35197

On the generalized Gardner problem for phase-locked loops in electrical grids. (English. Russian original) Zbl 1478.93471

Areas of attraction of a pendulum under the influence of oblique vibration of a suspension point. (English. Russian original) Zbl 1476.93134

An inverse problem of a simultaneous reconstruction of the dielectric constant and conductivity from experimental backscattering data. (English) Zbl 1478.78033

Convergence for a planar elliptic problem with large exponent Neumann data. (English) Zbl 1466.35199

Corrigendum to: “Integral equations method for solving a biharmonic inverse problem in detection of Robin coefficients”. (English) Zbl 1472.31006

An introduction to the mathematical theory of inverse problems. 3rd updated edition. (English) Zbl 1456.35001

State and output feedback boundary control of time fractional PDE-fractional ODE cascades with space-dependent diffusivity. (English) Zbl 1542.93116

Model predictive control for integrated longitudinal and lateral stability of electric vehicles with in-wheel motors. (English) Zbl 1542.93101

Effects of anisotropy of grids on both upper and tower bounds and accuracy of eigenvalues by the nonconforming rotated \(Q1\) element. (Chinese. English summary) Zbl 1474.35503

Existence of ground state solutions of Nehari-Pohozaev type for fractional Schrödinger-Poisson systems with a general potential. (English) Zbl 1463.35464

Perturbed \((2n - 1)\)-dimensional Kepler problem and the nilpotent adjoint orbits of \(\operatorname{U}(n, n)\). (English) Zbl 1461.53062

Mathematical and numerical analysis of the generalized complex-frequency eigenvalue problem for two-dimensional optical microcavities. (English) Zbl 1452.65318

On a transformation operator approach in the inverse spectral theory of integral and integro-differential operators. (English) Zbl 1467.45022

On the Banach manifold of simple domains in the Euclidean space and applications to free boundary problems. (English) Zbl 1448.58003

Compactness for a class of Yamabe-type problems on manifolds with boundary. (English) Zbl 1437.35174

Limits of the Stokes and Navier-Stokes equations in a punctured periodic domain. (English) Zbl 1439.35392

A modified Schrödinger-type identity: uniqueness of solutions for singular boundary value problem for the Schrödinger equation. (English) Zbl 1524.35257

Adaptive eigenspace for multi-parameter inverse scattering problems. (English) Zbl 1442.49032

Reconstruction of inner boundaries subjected to generalized impedance boundary conditions for the modified Helmholtz equation. (English) Zbl 1434.65229

Asymptotic behaviour of the energy integral of a two-parameter homogenization problem with nonlinear periodic Robin boundary conditions. (English) Zbl 1439.35154

A priori estimates of attraction basins for nonlinear least squares, with application to Helmholtz seismic inverse problem. (English) Zbl 1427.35015

Solving the inverse conductivity problems of nonlinear elliptic equations by the superposition of homogenization functions method. (English) Zbl 1524.35757

Observer for nonlinear systems with unknown input using mean value theorem and genetic algorithm. (English) Zbl 1405.93048

Homogenization in perforated domains: a Stokes grill and an adsorption process. (English) Zbl 1402.35032

Reduction and relative equilibria for the two-body problem on spaces of constant curvature. (English) Zbl 1396.70011

The generating function for the Airy point process and a system of coupled Painlevé II equations. (English) Zbl 1419.37063

A fast direct imaging method for the inverse obstacle scattering problem with nonlinear point scatterers. (English) Zbl 1397.78035

An application of a fixed-point theorem to Neumann problems on the Sierpinski fractal. (English) Zbl 1396.28009

Monodromy dependence and connection formulae for isomonodromic tau functions. (English) Zbl 1396.33039

On some nonlinear hyperbolic \(p(x,t)\)-Laplacian equations. (English) Zbl 1391.35284

Sign-changing blowing-up solutions for the Brezis-Nirenberg problem in dimensions four and five. (English) Zbl 1394.35143

The method of fundamental solutions for computing acoustic interior transmission eigenvalues. (English) Zbl 1404.65245

Nonlinear elliptic problem involving non-local boundary conditions and variable exponent. (English) Zbl 1387.35127

Efficient nonparametric inference for discretely observed compound Poisson processes. (English) Zbl 1383.62081

Two-parameter homogenization for a nonlinear periodic Robin problem for the Poisson equation: a functional analytic approach. (English) Zbl 1393.35031

Efficient resonance computations for Helmholtz problems based on a Dirichlet-to-Neumann map. (English) Zbl 1376.65142

Some singular equations modeling MEMS. (English) Zbl 1456.35193

Reconstruction of a source domain from boundary measurements. (English) Zbl 1446.65148

Evolution and development of system science and engineering research. (Chinese. English summary) Zbl 1399.93001

Image denoising via multiscale nonlinear diffusion models. (English) Zbl 1391.35217

Fast interior point solution of quadratic programming problems arising from PDE-constrained optimization. (English) Zbl 1379.65042

\(C^{1,\alpha}\) regularity for the normalized \(p\)-Poisson problem. (English. French summary) Zbl 1375.35170