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Semi-sparsity for triangular mesh denoising. (English) Zbl 07917938

Ruzhansky, Michael (ed.) et al., Extended abstracts MWCAPDE 2023. Methusalem workshop on classical analysis and partial differential equations. Selected papers, Ghent, Belgium, February 27 – March 1, 2023. Cham: Birkhäuser. Trends Math., Res. Perspect. Ghent Anal. PDE Cent. 1, 53-61 (2024).

MSC: 65-XX

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Duhr, Claude; Thakkar, Paarth

Rational terms of UV origin to all loop orders. (English) Zbl 07917427

J. High Energy Phys. 2024, No. 7, Paper No. 210, 20 p. (2024).

MSC: 81Txx 81Vxx 81-XX

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Kuric, Muhamed; Ahmetspahic, Jan; Pock, Thomas

Total generalized variation on a tree. (English) Zbl 07896967

SIAM J. Imaging Sci. 17, No. 2, 1040-1077 (2024).

MSC: 65K05 35R30 90C35 90C39

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Cao, Kai; Lesnic, Daniel

Determination of the time-dependent effective ion collision frequency from an integral observation. (English) Zbl 07892355

J. Inverse Ill-Posed Probl. 32, No. 4, 761-793 (2024).

MSC: 35R30 35K35 35K58

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Belitsky, A. V.; Smirnov, V. A.

Near mass-shell double boxes. (English) Zbl 07877456

J. High Energy Phys. 2024, No. 5, Paper No. 155, 19 p. (2024).

MSC: 81-XX

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Mheich, Rim; Petcu, Madalina; Talhouk, Raafat

On the logarithmic Cahn-Hilliard equation with general proliferation term. (English) Zbl 1536.35089

Commun. Pure Appl. Anal. 23, No. 3, 383-403 (2024).

MSC: 35B41 35B45 35K35 35K58

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Mondal, Subhankar; Nair, M. Thamban

A source identification problem in a bi-parabolic equation: convergence rates and some optimal results. (English) Zbl 1536.35379

Numer. Funct. Anal. Optim. 45, No. 3, 189-215 (2024).

MSC: 35R30 35L35 47A52 65M30 41A25

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Bai, Zhihao; Wang, Yang; Wei, Long

Existence of a weak solution and blow-up of strong solutions for a two-component Fornberg-Whitham system. (English) Zbl 1533.35058

J. Evol. Equ. 24, No. 1, Paper No. 10, 24 p. (2024).

MSC: 35D30 35B44 35G55 35K70

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Khorasani, Sina

Operator approach in nonlinear stochastic open quantum physics. (English) Zbl 1539.81083

Phys. Rep. 1046, 1-94 (2024).

MSC: 81S22 81R15 35G20 37A50 60H50 81V80 81P68 37F50 81-02

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Lassas, Matti; Liimatainen, Tony; Potenciano-Machado, Leyter; Tyni, Teemu

An inverse problem for a semi-linear wave equation: a numerical study. (English) Zbl 1529.65047

Inverse Probl. Imaging 18, No. 1, 62-85 (2024).

MSC: 65M32 35R30 35L05

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Eliseev, Aleksandr Georgievich; Kirichenko, Pavel Vladimirovich

Regularized asymptotics of the solution of a singularly perturbed mixed problem on the semiaxis for an equation of Schrödinger type in the presence of a strong turning point for the limit operator. (Russian. English summary) Zbl 1532.35029

Chebyshevskiĭ Sb. 24, No. 1(87), 50-68 (2023).

MSC: 35B25 35G16 35Q41

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Chen, Long

An observation on Feynman diagrams with axial anomalous subgraphs in dimensional regularization with an anticommuting \(\gamma_5\). (English) Zbl 07795746

J. High Energy Phys. 2023, No. 11, Paper No. 30, 34 p. (2023).

MSC: 81-XX

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Huntul, M. J.; Tekin, Ibrahim

Simultaneous determination of the time-dependent potential and force terms in a fourth-order Rayleigh-Love equation. (English) Zbl 1530.35363

Math. Methods Appl. Sci. 46, No. 6, 6949-6971 (2023).

MSC: 35R30 35L35

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Bondarenko, Natalia Pavlovna

Linear differential operators with distribution coefficients of various singularity orders. (English) Zbl 1538.34066

Math. Methods Appl. Sci. 46, No. 6, 6639-6659 (2023).

MSC: 34A55 34B09 34B40 34L05 46F10 35L40

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Au, Vo Van

Well- and ill-posedness for a class of the \(3D\)-generalized Kuramoto-Sivashinsky equations. (English) Zbl 1533.35026

Z. Angew. Math. Phys. 74, No. 6, Paper No. 247, 28 p. (2023).

Reviewer: Giuseppe Maria Coclite (Bari)

MSC: 35B40 35K35 35K58 35R25 47A52 65N21

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Gobbino, Massimo; Picenni, Nicola

A quantitative variational analysis of the staircasing phenomenon for a second order regularization of the Perona-Malik functional. (English) Zbl 1521.49011

Trans. Am. Math. Soc. 376, No. 8, 5307-5375 (2023).

Reviewer: Alain Brillard (Riedisheim)

MSC: 49J45 35B25 49Q20 39B22

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Chang, Jingya; Zhu, Zhi

An adaptive cubic regularization algorithm for computing H- and Z-eigenvalues of real even-order supersymmetric tensors. (English) Zbl 1518.65031

J. Comput. Appl. Math. 428, Article ID 115195, 17 p. (2023).

MSC: 65F15 15A18 15A69 90C30 90C26

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Jung, Miyoun

Correction to: “Saturation-value based higher-order regularization for color image restoration”. (English) Zbl 1539.94003

Multidimensional Syst. Signal Process. 34, No. 2, 395 (2023).

MSC: 94A08 68U10 65K10 65F22 35A15

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Jung, Miyoun

Saturation-value based higher-order regularization for color image restoration. (English) Zbl 1534.94006

Multidimensional Syst. Signal Process. 34, No. 2, 365-394 (2023); correction ibid. 34, No. 2, 395 (2023).

MSC: 94A08 68U10 65K10 65F22 35A15

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Haug, Juliane; Wunder, Fabian

The massless non-adjacent double off-shell scalar box integral – branch cut structure and all-order epsilon expansion. (English) Zbl 07701874

J. High Energy Phys. 2023, No. 5, Paper No. 59, 9 p. (2023).

MSC: 81T15 81Q30 33C05

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Dippon, Jürgen; Gwinner, Joachim; Khan, Akhtar A.; Sama, Miguel

A new regularized stochastic approximation framework for stochastic inverse problems. (English) Zbl 1519.35367

Nonlinear Anal., Real World Appl. 73, Article ID 103869, 29 p. (2023).

MSC: 35R30 35J40 35R60

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Gao, Yu

On conservative sticky peakons to the modified Camassa-Holm equation. (English) Zbl 1517.35086

J. Differ. Equations 365, 486-520 (2023).

MSC: 35C08 35G55

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Gehrmann, Thomas; von Manteuffel, Andreas; Yang, Tong-Zhi

Renormalization of twist-two operators in covariant gauge to three loops in QCD. (English) Zbl 07693929

J. High Energy Phys. 2023, No. 4, Paper No. 41, 62 p. (2023).

MSC: 81U35 81T15

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Brunk, Aaron; Egger, Herbert; Habrich, Oliver

On uniqueness and stable estimation of multiple parameters in the Cahn-Hilliard equation. (English) Zbl 1512.35654

Inverse Probl. 39, No. 6, Article ID 065002, 19 p. (2023).

MSC: 35R30 35K35 65M32

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Borinsky, Michael; Capatti, Zeno; Laenen, Eric; Salas-Bernárdez, Alexandre

Flow-oriented perturbation theory. (English) Zbl 1540.81099

J. High Energy Phys. 2023, No. 1, Paper No. 172, 54 p. (2023).

MSC: 81T15 81T18 81T17 81Q30 81U20

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Liu, Chao; Yang, Jun

Solutions with single radial interface of the generalized Cahn-Hilliard flow. (English) Zbl 1517.35117

Calc. Var. Partial Differ. Equ. 62, No. 4, Paper No. 115, 47 p. (2023).

Reviewer: Michał Kowalczyk (Santiago de Chile)

MSC: 35K30 35K58

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Cao, Kai

Convergence rate analysis of the coefficient identification problems in a Kuramoto-Sivashinsky equation. (English) Zbl 1504.35640

Inverse Probl. 39, No. 1, Article ID 015006, 42 p. (2023).

MSC: 35R30 35K35 35K58

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Bondarenko, Natalia P.

Spectral data asymptotics for the higher-order differential operators with distribution coefficients. (English) Zbl 1535.34074

J. Math. Sci., New York 266, No. 5, Series A, 794-815 (2022).

Reviewer: Erdoğan Şen (Tekirdağ)

MSC: 34L20 34B09 34B05 34E05 34A55 46F10

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Au Vo Van

Recovering the initial distribution for a logarithmic nonlinear biparabolic equation. (English) Zbl 1529.35566

Math. Methods Appl. Sci. 45, No. 4, 1805-1826 (2022).

MSC: 35R30 35R25 35G31 35K58 47J06 47H10

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Mehraliyev, Yashar T.; Huntul, M. J.; Ramazanova, Aysel T.; Tamsir, Mohammad; Emadifar, Homan

An inverse boundary value problem for transverse vibrations of a bar. (English) Zbl 1517.35264

Bound. Value Probl. 2022, Paper No. 96, 36 p. (2022).

MSC: 35R30 35B45 35L35

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Davydychev, Andrei I.; Schröder, York

Recursion-free solution for two-loop vacuum integrals with “collinear” masses. (English) Zbl 1536.81066

J. High Energy Phys. 2022, No. 12, Paper No. 47, 40 p. (2022).

MSC: 81Q30 81T18 81T15

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Capatti, Zeno; Hirschi, Valentin; Ruijl, Ben

Local unitarity: cutting raised propagators and localising renormalisation. (English) Zbl 1534.81094

J. High Energy Phys. 2022, No. 10, Paper No. 120, 82 p. (2022).

MSC: 81T15 81Q30 81T18 81V35

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Huntul, M. J.; Abbas, Muhammad

An inverse problem of fourth-order partial differential equation with nonlocal integral condition. (English) Zbl 1535.65224

Adv. Contin. Discrete Models 2022, Paper No. 55, 27 p. (2022).

MSC: 65M70 65M32 65M12 35R30 35R25

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Falcioni, Giulio; Herzog, Franz

Renormalization of gluonic leading-twist operators in covariant gauges. (English) Zbl 1522.81717

J. High Energy Phys. 2022, No. 5, Paper No. 177, 45 p. (2022).

MSC: 81V05 81T15 81T18 81T17 81T50

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Huntul, M. J.; Tekin, I.

On an inverse problem for a nonlinear third order in time partial differential equation. (English) Zbl 1497.35516

Results Appl. Math. 15, Article ID 100314, 20 p. (2022).

MSC: 35R30 35A02 35G16

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Liang, Bo; Su, Caiyue; Wang, Ying; Li, Xiumei; Zhang, Zhenyu

On a viscous fourth-order parabolic equation with boundary degeneracy. (English) Zbl 1492.35143

Bound. Value Probl. 2022, Paper No. 29, 16 p. (2022).

MSC: 35K35 35K65

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Di Primio, Andrea; Grasselli, Maurizio

On a system of coupled Cahn-Hilliard equations. (English) Zbl 1491.35036

Nonlinear Anal., Real World Appl. 67, Article ID 103601, 33 p. (2022).

MSC: 35B40 35K52 35K58

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Jadamba, Baasansuren; Khan, Akhtar A.; Raciti, Fabio; Sama, Miguel

A variational inequality based stochastic approximation for estimating the flexural rigidity in random fourth-order models. (English) Zbl 1489.35312

Commun. Nonlinear Sci. Numer. Simul. 111, Article ID 106406, 11 p. (2022).

MSC: 35R60 35J40 35R30 49N45 65J20 65J22 65M30

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Cen, Jinxia; Khan, Akhtar A.; Motreanu, Dumitru; Zeng, Shengda

Inverse problems for generalized quasi-variational inequalities with application to elliptic mixed boundary value systems. (English) Zbl 1487.49045

Inverse Probl. 38, No. 6, Article ID 065006, 28 p. (2022).

MSC: 49N45 49J40 35J40

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Nam, Danh Hua Quoc; Long, Le Dinh; O’Regan, Donal; Ngoc, Tran Bao; Tuan, Nguyen Huy

Identification of the right-hand side in a bi-parabolic equation with final data. (English) Zbl 1487.35452

Appl. Anal. 101, No. 4, 1157-1175 (2022).

MSC: 35R30 35L35 35R25

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Huntul, M. J.

Space-dependent heat source determination problem with nonlocal periodic boundary conditions. (English) Zbl 1481.35402

Results Appl. Math. 12, Article ID 100223, 11 p. (2021).

MSC: 35R30 35K35 35K70 65M32

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Can, Nguyen Huu; Tuan, Nguyen Huy; O’Regan, Donal; Au, Vo Van

On a final value problem for a class of nonlinear hyperbolic equations with damping term. (English) Zbl 1480.35404

Evol. Equ. Control Theory 10, No. 1, 103-127 (2021).

MSC: 35R30 35L35 35L76 47J06 47H10 47A52

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Tuan, Nguyen Huy; Thach, Tran Ngoc; Cam Vu, Hoan Luu; Can, Nguyen Huu

On a final value problem for a biparabolic equation with statistical discrete data. (English) Zbl 1479.35934

Appl. Anal. 100, No. 16, 3576-3599 (2021).

MSC: 35R25 35K35 47J06 47H10

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Chen, Yong; Duan, Jinqiao; Gao, Hongjun

Global well-posedness of the stochastic Camassa-Holm equation. (English) Zbl 1479.35967

Commun. Math. Sci. 19, No. 3, 607-627 (2021).

MSC: 35R60 35G25 60H15

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Storath, Martin; Weinmann, Andreas

Variational regularization of inverse problems for manifold-valued data. (English) Zbl 1528.65030

Inf. Inference 10, No. 1, 195-230 (2021).

MSC: 65J22 49N45

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Scarpa, Luca

The stochastic Cahn-Hilliard equation with degenerate mobility and logarithmic potential. (English) Zbl 1467.35199

Nonlinearity 34, No. 6, 3813-3857 (2021).

MSC: 35K35 35R60 60H15 80A22

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Nhat Luan, Tran; Quoc Khanh, Tra

On the backward problem for parabolic equations with memory. (English) Zbl 1464.35404

Appl. Anal. 100, No. 7, 1414-1431 (2021).

MSC: 35R25 35K20 35R09 31B30 47A52 65F22 65J20

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Molinet, Luc; Talhouk, Raafat; Zaiter, Ibtissam

The Boussinesq system revisited. (English) Zbl 1460.35295

Nonlinearity 34, No. 2, 744-775 (2021).

MSC: 35Q35 35L56 35B30 35D30 35B65 35A01 35A02 46E35

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Larios, Adam; Yamazaki, Kazuo

On the well-posedness of an anisotropically-reduced two-dimensional Kuramoto-Sivashinsky equation. (English) Zbl 1486.35261

Physica D 411, Article ID 132560, 14 p. (2020).

MSC: 35K52 35K58

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Herr, Sebastian; Lamm, Tobias; Schmid, Tobias; Schnaubelt, Roland

Biharmonic wave maps: local wellposedness in high regularity. (English) Zbl 1481.35285

Nonlinearity 33, No. 5, 2270-2305 (2020).

MSC: 35L76 35B65 35L30

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Hamdache, Kamel; Hamroun, Djamila

Existence of large solutions to the Landau-Lifshitz-Bloch equation. (English) Zbl 1462.35377

Commun. Math. Sci. 18, No. 2, 487-513 (2020).

MSC: 35Q60 35A01 35B10 35D35 35B65 35G31 82D40 78A30

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Kiefer, Lukas; Storath, Martin; Weinmann, Andreas

An algorithm for second order Mumford-Shah models based on a Taylor jet formulation. (English) Zbl 1458.94041

SIAM J. Imaging Sci. 13, No. 4, 2307-2360 (2020).

MSC: 94A08 68U10 65D18 65K10 90C39

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Schimperna, Giulio; Wu, Hao

On a class of sixth-order Cahn-Hilliard-type equations with logarithmic potential. (English) Zbl 1450.35136

SIAM J. Math. Anal. 52, No. 5, 5155-5195 (2020).

MSC: 35K35 35K55 35A01 47H05 35B41 35B65

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Nguyen Huy Tuan; Vo Van Au; Xu, Runzhang; Wang, Renhai

On the initial and terminal value problem for a class of semilinear strongly material damped plate equations. (English) Zbl 1448.35339

J. Math. Anal. Appl. 492, No. 2, Article ID 124481, 38 p. (2020).

MSC: 35L90 35L35 35L76 74K20 35B44 35R25

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Liess, Otto

Carleman regularization and hyperfunctions. (English) Zbl 1444.42008

Boggiatto, Paolo (ed.) et al., Advances in microlocal and time-frequency analysis. Contributions of the conference on microlocal and time-frequency analysis 2018, MLTFA18, in honor of Prof. Luigi Rodino on the occasion of his 70th birthday, Torino, Italy, July 2–6, 2018. Cham: Birkhäuser. Appl. Numer. Harmon. Anal., 311-326 (2020).

MSC: 42A38 46F15 35G05

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Guntuboyina, Adityanand; Lieu, Donovan; Chatterjee, Sabyasachi; Sen, Bodhisattva

Adaptive risk bounds in univariate total variation denoising and trend filtering. (English) Zbl 1439.62100

Ann. Stat. 48, No. 1, 205-229 (2020).

Reviewer: Oleksandr Kukush (Kyïv)

MSC: 62G08 62J05 62J07 65D07 62G07 62M20

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Parisotto, Simone; Masnou, Simon; Schönlieb, Carola-Bibiane

Higher-order total directional variation: analysis. (English) Zbl 1444.47020

SIAM J. Imaging Sci. 13, No. 1, 474-496 (2020).

Reviewer: Denis Sidorov (Irkutsk)

MSC: 47A52 49N45 65J22 94A08

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Álvarez-Caudevilla, P.; Ortega, A.

Homotopy regularization for a high-order parabolic equation. (English) Zbl 1431.35058

Mediterr. J. Math. 17, No. 1, Paper No. 2, 18 p. (2020).

MSC: 35K30 35K55 35K65 31B30

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Benrabah, A.; Boussetila, N.

Modified nonlocal boundary value problem method for an ill-posed problem for the biharmonic equation. (English) Zbl 1471.65178

Inverse Probl. Sci. Eng. 27, No. 3, 340-368 (2019).

MSC: 65N20 65N12 31A30 35B45 35J40 35R25 47A52

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Artyushin, Aleksandr Nikolaevich

On the regular solvability of a boundary value problem for a 3rd order equation with a changing direction of evolution in weighted Sobolev spaces. (Russian. English summary) Zbl 1430.35165

Sib. Èlektron. Mat. Izv. 16, 2003-2012 (2019).

MSC: 35M13 35G16 35D30 35A01 35A02

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Chapko, Roman; Johansson, B. Tomas

Integral equations for biharmonic data completion. (English) Zbl 1447.35377

Inverse Probl. Imaging 13, No. 5, 1095-1111 (2019).

MSC: 35R30 35J40 31B30 65R20 74K20

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Yan, Yue; Chen, Wenbin; Wang, Cheng; Wise, Steven M.

A second-order energy stable BDF numerical scheme for the Cahn-Hilliard equation. (English) Zbl 1488.65367

Commun. Comput. Phys. 23, No. 2, 572-602 (2018).

MSC: 65M12 65M60 35K35 35K55

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Foadian, Saedeh; Pourgholi, Reza; Hashem Tabasi, S.

Cubic B-spline method for the solution of an inverse parabolic system. (English) Zbl 1466.65103

Appl. Anal. 97, No. 3, 438-465 (2018).

MSC: 65M32 65M30 65M70 65J20 65F22 65M20 65D07 35G46 35R25

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Pavlov, A. L.

The Cauchy problem for one equation of Sobolev type. (Russian, English) Zbl 1438.35100

Mat. Tr. 21, No. 1, 125-154 (2018); translation in Sib. Adv. Math. 29, No. 1, 57-76 (2019).

MSC: 35E15 35G10

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Kang, Myeongmin; Jung, Miyoun; Kang, Myungjoo

Higher-order regularization based image restoration with automatic regularization parameter selection. (English) Zbl 1418.94015

Comput. Math. Appl. 76, No. 1, 58-80 (2018).

MSC: 94A08

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Formaggia, Luca; Vergara, Christian

Defective boundary conditions for PDEs with applications in haemodynamics. (English) Zbl 1416.65444

Di Pietro, Daniele Antonio (ed.) et al., Numerical methods for PDEs. State of the art techniques. Cham: Springer. SEMA SIMAI Springer Ser. 15, 285-312 (2018).

MSC: 65N30 65N15 35J20 49K20 65J20 76D10 76D07 92C35 76M10

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Benrabah, A.

Quasi-boundary value method for an ill-posed problem for the homogeneous biharmonic equation. (English) Zbl 1401.31010

Appl. Sci. 20, 36-53 (2018).

MSC: 31A30 35J30 65L20

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Zhou, Shouming

The local well-posedness in Besov spaces and non-uniform dependence on initial data for the interacting system of Camassa-Holm and Degasperis-Procesi equations. (English) Zbl 1406.35103

Monatsh. Math. 187, No. 4, 735-764 (2018).

MSC: 35G55 35B30

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Bredies, K.; Holler, M.; Storath, M.; Weinmann, A.

Total generalized variation for manifold-valued data. (English) Zbl 1401.94010

SIAM J. Imaging Sci. 11, No. 3, 1785-1848 (2018).

MSC: 94A08 68U10 90C90 53B99 65K10

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Zheng, Rudong; Yin, Zhaoyang

Global weak solutions for a two-component Camassa-Holm system with an arbitrary smooth function. (English) Zbl 1406.35102

Appl. Anal. 97, No. 12, 2085-2096 (2018).

MSC: 35G55 35G25 35L05

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Bonetti, Elena; Colli, Pierluigi; Scarpa, Luca; Tomassetti, Giuseppe

A doubly nonlinear Cahn-Hilliard system with nonlinear viscosity. (English) Zbl 1393.35235

Commun. Pure Appl. Anal. 17, No. 3, 1001-1022 (2018).

MSC: 35Q74 35G31 35K52 35D35 74N20

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Can, Nguyen Huu; Tuan, Nguyen Huy; Au, Vo Van; Thang, Le Duc

Regularization of Cauchy abstract problem for a coupled system for nonlinear elliptic equations. (English) Zbl 1392.35122

J. Math. Anal. Appl. 462, No. 2, 1148-1177 (2018).

MSC: 35J48

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Sanders, Toby

Parameter selection for HOTV regularization. (English) Zbl 1379.65032

Appl. Numer. Math. 125, 1-9 (2018).

MSC: 65J20 47A52 65J22 65J10 65D18

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Fayazov, Kudratillo Sadridinovich; Khazhiev, Ikrombek Ozodovich

Ill-posed initial-boundary value problem for a system of parabolic equations with varying direction of time. (Russian. English summary) Zbl 1403.35321

Vychisl. Tekhnol. 22, No. 3, 103-114 (2017).

MSC: 35R25 35K52

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Tuan, Nguyen Huy; Nguyen, Doan Vuong; Au, Vo Van; Lesnic, Daniel

Recovering the initial distribution for strongly damped wave equation. (English) Zbl 1524.35091

Appl. Math. Lett. 73, 69-77 (2017).

MSC: 35B41 37L30 65M15 35L75 65M60

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Valkonen, T.

The jump set under geometric regularisation. II: Higher-order approaches. (English) Zbl 1373.49055

J. Math. Anal. Appl. 453, No. 2, 1044-1085 (2017).

Reviewer: Sorin-Mihai Grad (Chemnitz)

MSC: 49Q20 47A52 26A45

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Fuchs, Martin; Müller, Jan

A higher order TV-type variational problem related to the denoising and inpainting of images. (English) Zbl 1358.49043

Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 154, 122-147 (2017).

MSC: 49Q20 49N60 49N15 94A08 62H35

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Luo, Wei; Yin, Zhaoyang

Global existence of weak solutions for a three-component Camassa-Holm system with N-peakon solutions. (English) Zbl 1404.35110

IMA J. Appl. Math. 81, No. 6, 1096-1111 (2016).

MSC: 35G55 35D30

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Jung, Miyoun; Kang, Myungjoo

Variational image colorization models using higher-order Mumford-Shah regularizers. (English) Zbl 1371.65020

J. Sci. Comput. 68, No. 2, 864-888 (2016).

MSC: 65D18

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Guo, Yanqiu; Hacinliyan, Irma; Titi, Edriss S.

Non-viscous regularization of the Davey-Stewartson equations: analysis and modulation theory. (English) Zbl 1346.35045

J. Math. Phys. 57, No. 8, 081502, 22 p. (2016).

MSC: 35G50 35G40 35J50 35B44 35Q55 35Q35 47A52 76B15

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Cherfils, Laurence; Gatti, Stefania

Robust family of exponential attractors for isotropic crystal models. (English) Zbl 1339.35053

Math. Methods Appl. Sci. 39, No. 7, 1705-1729 (2016).

MSC: 35B41 35B45 35K35 35K58

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Akdim, Y.; Bennouna, J.; Mekkour, M.; Redwane, H.

Existence of a renormalised solution for a class of nonlinear degenerated parabolic problem with unbounded nonlinearities. (English) Zbl 1389.35187

Rev. Roum. Math. Pures Appl. 60, No. 2, 129-154 (2015).

MSC: 35K25 35A01 35K20 35K65 47A15

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Fayazov, K. S.; Khazhiev, I. O.

Stability estimates and approximate solutions to a boundary value problem for a fourth order partial differential equation. (Russian. English summary) Zbl 1374.35119

Mat. Zamet. SVFU 22, No. 1, 78-88 (2015).

MSC: 35G16 35B30 35R25

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Papafitsoros, Konstantinos; Bredies, Kristian

A study of the one dimensional total generalised variation regularisation problem. (English) Zbl 1336.49044

Inverse Probl. Imaging 9, No. 2, 511-550 (2015).

MSC: 49N45 49Q20 49N60 26B30 65J22 65J20 94A08

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Álvarez-Caudevilla, Pablo; Galaktionov, Victor A.

Well-posedness of the Cauchy problem for a fourth-order thin film equation via regularization approaches. (English) Zbl 1320.35174

Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 121, 19-35 (2015).

MSC: 35K65 35A09 35G20 35K25

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Zhou, Shouming

The local well-posedness, existence and uniqueness of weak solutions for a model equation for shallow water waves of moderate amplitude. (English) Zbl 1332.35306

J. Differ. Equations 258, No. 12, 4103-4126 (2015).

Reviewer: Song Jiang (Beijing)

MSC: 35Q35 35G25 37L50 35L05 35Q51 35Q53 35D30 35B65

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Jung, Miyoun; Kang, Myungjoo

Simultaneous cartoon and texture image restoration with higher-order regularization. (English) Zbl 1328.68274

SIAM J. Imaging Sci. 8, No. 1, 721-756 (2015).

MSC: 68U10 65K10 90C25 94A08

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Lindsay, A. E.; Lega, J.; Glasner, K. B.

Regularized model of post-touchdown configurations in electrostatic MEMS: equilibrium analysis. (English) Zbl 1349.74127

Physica D 280-281, 95-108 (2014).

MSC: 74F15 78A55 35J05 35J91 35A01 35B32

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Chan, Jesse; Heuer, Norbert; Bui-Thanh, Tan; Demkowicz, Leszek

A robust DPG method for convection-dominated diffusion problems. II: Adjoint boundary conditions and mesh-dependent test norms. (English) Zbl 1350.65120

Comput. Math. Appl. 67, No. 4, 771-795 (2014).

MSC: 65N30 35J25 65N12

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Bergmann, Ronny; Laus, Friederike; Steidl, Gabriele; Weinmann, Andreas

Second order differences of cyclic data and applications in variational denoising. (English) Zbl 1309.65022

SIAM J. Imaging Sci. 7, No. 4, 2916-2953 (2014).

MSC: 65D18 94A08 94A12

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Lai, Shaoyong; Zhang, Feng; Hu, Hanlei

The well-posedness of local solutions for a generalized Novikov equation. (English) Zbl 1311.35062

Collect. Math. 65, No. 2, 257-271 (2014).

MSC: 35G25 35L05

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Choksi, Rustum; Fonseca, Irene; Zwicknagl, Barbara

A few remarks on variational models for denoising. (English) Zbl 1304.49073

Commun. Math. Sci. 12, No. 5, 843-857 (2014).

MSC: 49N45 94A08

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Liu, Jia-Quan; Liu, Xiang-Qing; Wang, Zhi-Qiang

Multiple sign-changing solutions for quasilinear elliptic equations via perturbation method. (English) Zbl 1304.35290

Commun. Partial Differ. Equations 39, No. 12, 2216-2239 (2014).

MSC: 35J62 35J35 35Q55 35B05 35B45

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Chen, Rong; Zhou, Shouming

The Cauchy problem for a generalized Dullin-Gottwald-Holm equation in Besov spaces. (English) Zbl 1302.35114

Appl. Anal. 93, No. 9, 1921-1947 (2014).

MSC: 35G25 35B44

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Riplinger, Martin; Spiess, Malte

Numerical inversion of the spherical Radon transform and the cosine transform using the approximate inverse with a special class of locally supported mollifiers. (English) Zbl 1307.44003

J. Inverse Ill-Posed Probl. 22, No. 4, 497-536 (2014).

MSC: 44A12 45Q05 47D09

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Thanh, Bui Le Trong; Smarrazzo, Flavia; Tesei, Alberto

Passage to the limit over small parameters in the viscous Cahn-Hilliard equation. (English) Zbl 1304.35054

J. Math. Anal. Appl. 420, No. 2, 1265-1300 (2014).

MSC: 35B25 35K25 35K70

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Liu, Qiang; Gao, Tianling; Xia, Li

Existence and uniqueness of weak solutions for some singular evolutionary system in image denoising. (English) Zbl 1295.35258

Math. Methods Appl. Sci. 37, No. 11, 1602-1609 (2014).

MSC: 35K52 35K65 94A08 35D30 35K92

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Jaworska, Irena

On the ill-conditioning in the new higher order multipoint method. (English) Zbl 1347.65127

Comput. Math. Appl. 66, No. 3, 238-249 (2013).

MSC: 65L10 65L08 34B10 65L12

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Bredies, Kristian; Pock, Thomas; Wirth, Benedikt

Convex relaxation of a class of vertex penalizing functionals. (English) Zbl 1293.49063

J. Math. Imaging Vis. 47, No. 3, 278-302 (2013).

Reviewer: Hans Benker (Merseburg)

MSC: 49M20 65K05 94A08

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Leonov, A. S.

Higher-order total variations for functions of several variables and their application in the theory of ill-posed problems. (English. Russian original) Zbl 1290.35320

Proc. Steklov Inst. Math. 280, Suppl. 1, S119-S133 (2013); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 18, No. 1, 198-212 (2012).

Reviewer: Bangti Jin (College Station)

MSC: 35R25 26B30 47J06

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Found 246 Documents (Results 1–100)

Semi-sparsity for triangular mesh denoising. (English) Zbl 07917938

Rational terms of UV origin to all loop orders. (English) Zbl 07917427

Total generalized variation on a tree. (English) Zbl 07896967

Determination of the time-dependent effective ion collision frequency from an integral observation. (English) Zbl 07892355

Near mass-shell double boxes. (English) Zbl 07877456

On the logarithmic Cahn-Hilliard equation with general proliferation term. (English) Zbl 1536.35089

A source identification problem in a bi-parabolic equation: convergence rates and some optimal results. (English) Zbl 1536.35379

Existence of a weak solution and blow-up of strong solutions for a two-component Fornberg-Whitham system. (English) Zbl 1533.35058

Operator approach in nonlinear stochastic open quantum physics. (English) Zbl 1539.81083

An inverse problem for a semi-linear wave equation: a numerical study. (English) Zbl 1529.65047

Regularized asymptotics of the solution of a singularly perturbed mixed problem on the semiaxis for an equation of Schrödinger type in the presence of a strong turning point for the limit operator. (Russian. English summary) Zbl 1532.35029

An observation on Feynman diagrams with axial anomalous subgraphs in dimensional regularization with an anticommuting \(\gamma_5\). (English) Zbl 07795746

Simultaneous determination of the time-dependent potential and force terms in a fourth-order Rayleigh-Love equation. (English) Zbl 1530.35363

Linear differential operators with distribution coefficients of various singularity orders. (English) Zbl 1538.34066

Well- and ill-posedness for a class of the \(3D\)-generalized Kuramoto-Sivashinsky equations. (English) Zbl 1533.35026

A quantitative variational analysis of the staircasing phenomenon for a second order regularization of the Perona-Malik functional. (English) Zbl 1521.49011

An adaptive cubic regularization algorithm for computing H- and Z-eigenvalues of real even-order supersymmetric tensors. (English) Zbl 1518.65031

Correction to: “Saturation-value based higher-order regularization for color image restoration”. (English) Zbl 1539.94003

Saturation-value based higher-order regularization for color image restoration. (English) Zbl 1534.94006

The massless non-adjacent double off-shell scalar box integral – branch cut structure and all-order epsilon expansion. (English) Zbl 07701874

A new regularized stochastic approximation framework for stochastic inverse problems. (English) Zbl 1519.35367

On conservative sticky peakons to the modified Camassa-Holm equation. (English) Zbl 1517.35086

Renormalization of twist-two operators in covariant gauge to three loops in QCD. (English) Zbl 07693929

On uniqueness and stable estimation of multiple parameters in the Cahn-Hilliard equation. (English) Zbl 1512.35654

Flow-oriented perturbation theory. (English) Zbl 1540.81099

Solutions with single radial interface of the generalized Cahn-Hilliard flow. (English) Zbl 1517.35117

Convergence rate analysis of the coefficient identification problems in a Kuramoto-Sivashinsky equation. (English) Zbl 1504.35640

Spectral data asymptotics for the higher-order differential operators with distribution coefficients. (English) Zbl 1535.34074

Recovering the initial distribution for a logarithmic nonlinear biparabolic equation. (English) Zbl 1529.35566

An inverse boundary value problem for transverse vibrations of a bar. (English) Zbl 1517.35264

Recursion-free solution for two-loop vacuum integrals with “collinear” masses. (English) Zbl 1536.81066

Local unitarity: cutting raised propagators and localising renormalisation. (English) Zbl 1534.81094

An inverse problem of fourth-order partial differential equation with nonlocal integral condition. (English) Zbl 1535.65224

Renormalization of gluonic leading-twist operators in covariant gauges. (English) Zbl 1522.81717

On an inverse problem for a nonlinear third order in time partial differential equation. (English) Zbl 1497.35516

On a viscous fourth-order parabolic equation with boundary degeneracy. (English) Zbl 1492.35143

On a system of coupled Cahn-Hilliard equations. (English) Zbl 1491.35036

A variational inequality based stochastic approximation for estimating the flexural rigidity in random fourth-order models. (English) Zbl 1489.35312

Inverse problems for generalized quasi-variational inequalities with application to elliptic mixed boundary value systems. (English) Zbl 1487.49045

Identification of the right-hand side in a bi-parabolic equation with final data. (English) Zbl 1487.35452

Space-dependent heat source determination problem with nonlocal periodic boundary conditions. (English) Zbl 1481.35402

On a final value problem for a class of nonlinear hyperbolic equations with damping term. (English) Zbl 1480.35404

On a final value problem for a biparabolic equation with statistical discrete data. (English) Zbl 1479.35934

Global well-posedness of the stochastic Camassa-Holm equation. (English) Zbl 1479.35967

Variational regularization of inverse problems for manifold-valued data. (English) Zbl 1528.65030

The stochastic Cahn-Hilliard equation with degenerate mobility and logarithmic potential. (English) Zbl 1467.35199

On the backward problem for parabolic equations with memory. (English) Zbl 1464.35404

The Boussinesq system revisited. (English) Zbl 1460.35295

On the well-posedness of an anisotropically-reduced two-dimensional Kuramoto-Sivashinsky equation. (English) Zbl 1486.35261

Biharmonic wave maps: local wellposedness in high regularity. (English) Zbl 1481.35285

Existence of large solutions to the Landau-Lifshitz-Bloch equation. (English) Zbl 1462.35377

An algorithm for second order Mumford-Shah models based on a Taylor jet formulation. (English) Zbl 1458.94041

On a class of sixth-order Cahn-Hilliard-type equations with logarithmic potential. (English) Zbl 1450.35136

On the initial and terminal value problem for a class of semilinear strongly material damped plate equations. (English) Zbl 1448.35339

Carleman regularization and hyperfunctions. (English) Zbl 1444.42008

Adaptive risk bounds in univariate total variation denoising and trend filtering. (English) Zbl 1439.62100

Higher-order total directional variation: analysis. (English) Zbl 1444.47020

Homotopy regularization for a high-order parabolic equation. (English) Zbl 1431.35058

Modified nonlocal boundary value problem method for an ill-posed problem for the biharmonic equation. (English) Zbl 1471.65178

On the regular solvability of a boundary value problem for a 3rd order equation with a changing direction of evolution in weighted Sobolev spaces. (Russian. English summary) Zbl 1430.35165

Integral equations for biharmonic data completion. (English) Zbl 1447.35377

A second-order energy stable BDF numerical scheme for the Cahn-Hilliard equation. (English) Zbl 1488.65367

Cubic B-spline method for the solution of an inverse parabolic system. (English) Zbl 1466.65103

The Cauchy problem for one equation of Sobolev type. (Russian, English) Zbl 1438.35100

Higher-order regularization based image restoration with automatic regularization parameter selection. (English) Zbl 1418.94015

Defective boundary conditions for PDEs with applications in haemodynamics. (English) Zbl 1416.65444

Quasi-boundary value method for an ill-posed problem for the homogeneous biharmonic equation. (English) Zbl 1401.31010

The local well-posedness in Besov spaces and non-uniform dependence on initial data for the interacting system of Camassa-Holm and Degasperis-Procesi equations. (English) Zbl 1406.35103

Total generalized variation for manifold-valued data. (English) Zbl 1401.94010

Global weak solutions for a two-component Camassa-Holm system with an arbitrary smooth function. (English) Zbl 1406.35102

A doubly nonlinear Cahn-Hilliard system with nonlinear viscosity. (English) Zbl 1393.35235

Regularization of Cauchy abstract problem for a coupled system for nonlinear elliptic equations. (English) Zbl 1392.35122

Parameter selection for HOTV regularization. (English) Zbl 1379.65032

Ill-posed initial-boundary value problem for a system of parabolic equations with varying direction of time. (Russian. English summary) Zbl 1403.35321