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Di Bucchianico, Alessandro (ed.) et al., Progress in industrial mathematics at ECMI 2004. Papers of the 13th European conference on mathematics for industry, Eindhoven, Netherlands, June 21–25, 2004. Berlin: Springer (ISBN 3-540-28072-3/hbk). Mathematics in Industry 8, 386-390 (2006).

MSC: 82D30 82C80 65M06 35F20

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Bondar, M. L.; ten Thije Boonkkamp, J. H. M.

On the dynamics of a Bunsen flame. (English) Zbl 1309.80004

Di Bucchianico, Alessandro (ed.) et al., Progress in industrial mathematics at ECMI 2004. Papers of the 13th European conference on mathematics for industry, Eindhoven, Netherlands, June 21–25, 2004. Berlin: Springer (ISBN 3-540-28072-3/hbk). Mathematics in Industry 8, 207-211 (2006).

MSC: 80A25 80M25 65M25

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Pulch, R.

Warped MPDAE models with continuous phase conditions. (English) Zbl 1308.94125

Di Bucchianico, Alessandro (ed.) et al., Progress in industrial mathematics at ECMI 2004. Papers of the 13th European conference on mathematics for industry, Eindhoven, Netherlands, June 21–25, 2004. Berlin: Springer (ISBN 3-540-28072-3/hbk). Mathematics in Industry 8, 179-183 (2006).

MSC: 94C99 94A14 65M99

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Smaoui, Nejib

A state feedback control scheme for the generalized Korteweg-de Vries-Burgers equation. (English) Zbl 1157.65408

Neural Parallel Sci. Comput. 14, No. 4, 345-350 (2006).

MSC: 65K10 93C20 93D10 35Q53 35B37 65M60 65M12

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Dang, Quang A.; Ehrhardt, Matthias

Adequate numerical solution of air pollution problems by positive difference schemes on unbounded domains. (English) Zbl 1137.65395

Math. Comput. Modelling 44, No. 9-10, 834-856 (2006).

MSC: 65M06 35K15 92D40

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Kabeya, Yoshitsugu

Bifurcation diagrams to an elliptic equation involving the critical Sobolev exponent with the Robin condition. (English) Zbl 1152.35372

Chipot, Michel (ed.) et al., Recent advances on elliptic and parabolic issues. Proceedings of the 2004 Swiss-Japanese seminar, Zürich, Switzerland, December 6–10, 2004. Hackensack, NJ: World Scientific (ISBN 981-256-675-9/hbk). 165-189 (2006).

MSC: 35J60 35J65 35B30 35B32 35B20

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Braverman, Elena; Kinzebulatov, Damir

Nicholson’s blowflies equation with a distributed delay. (English) Zbl 1146.34056

Can. Appl. Math. Q. 14, No. 2, 107-128 (2006).

Reviewer: Jin Liang (Shanghai)

MSC: 34K60 34K11 34K25 92D25

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Choi, Q-Heung; Xu, Hunan

Nonlinear oscillations for the one-dimensional wave equation with a jump nonlinearity. (English. Russian original) Zbl 1140.35332

Differ. Equ. 42, No. 10, 1453-1461 (2006); translation from Differ. Uravn. 42, No. 10, 1380-1388 (2006).

MSC: 35B10 35L70 47J30 35L20

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Kapustin, N. Yu.

An a priori estimate for the solution of a mixed problem for the heat equation. (English. Russian original) Zbl 1141.35341

Differ. Equ. 42, No. 10, 1447-1452 (2006); translation from Differ. Uravn. 42, No. 10, 1375-1379 (2006).

MSC: 35B45 35P15 35K20

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Chen, Yan; Zhang, Kewei

Young measure solutions of the two-dimensional Perona-Malik equation in image processing. (English) Zbl 1141.35012

Commun. Pure Appl. Anal. 5, No. 3, 617-637 (2006).

MSC: 35D05 68U10 74H20 35K60

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Kurokiba, Masaki; Nagai, Toshitaka; Ogawa, Takayoshi

The uniform boundedness and threshold for the global existence of the radial solution to a drift-diffusion system. (English) Zbl 1259.35112

Commun. Pure Appl. Anal. 5, No. 1, 97-106 (2006).

MSC: 35K45 35B45 35K55 78A35 92C17

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Gavrilov, S. N.

Efficient mass of a material point moving along a string on the Winkler base. (Russian) Zbl 1126.70352

Prikl. Mat. Mekh. 70, No. 4, 641-649 (2006); translation in J. Appl. Math. Mech. 70, No. 4, 582-589 (2006).

Reviewer: A. Karimzhanov (Andizhan)

MSC: 70K99 74A99

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Kamga, Jean-Baptiste Apoung; Després, Bruno

CFL condition and boundary conditions for DGM approximation of convection-diffusion. (English) Zbl 1129.65066

SIAM J. Numer. Anal. 44, No. 6, 2245-2269 (2006).

MSC: 65M60 65M12 35K15

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Khusainov, Denys Ya.; Ivanov, Anatolij F.; Kovarzh, Iryna V.

The solution of wave equation with delay. (Ukrainian. English summary) Zbl 1142.35621

Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2006, No. 4, 243-248 (2006).

MSC: 35R10 35L05

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Kreiss, Heinz-Otto; Petersson, N. Anders

An embedded boundary method for the wave equation with discontinuous coefficients. (English) Zbl 1131.65075

SIAM J. Sci. Comput. 28, No. 6, 2054-2074 (2006).

Reviewer: Xavier Antoine (Vandœuvre-lès-Nancy)

MSC: 65M06 65M12 35L05 35R05

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Mokin, A. Yu.

Compatibility of norms in the analysis of difference schemes for the Samarskii-Ionkin problem. (English. Russian original) Zbl 1126.65076

Differ. Equ. 42, No. 7, 1031-1040 (2006); translation from Differ. Uravn. 42, No. 7, 969-978 (2006).

MSC: 65M06 65M12 35K05

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Shi, Dongyang; Li, Qiuhong

The superconvergence analysis of interracial and differential equation with interracial boundary condition on anisotropic meshes. (Chinese. English summary) Zbl 1125.65336

J. Xinyang Norm. Univ., Nat. Sci. 19, No. 4, 392-394, 410 (2006).

MSC: 65M12 65M60 35K05

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Shishkin, G. I.

Grid approximation of singularly perturbed parabolic convection-diffusion equations subject to a piecewise smooth initial condition. (Russian, English) Zbl 1210.35148

Zh. Vychisl. Mat. Mat. Fiz. 46, No. 1, 52-76 (2006); translation in Comput. Math. Math. Phys. 46, No. 1, 49-72 (2006).

MSC: 35K20 34E15

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Nicaise, Serge; Pignotti, Cristina

Stability and instability results of the wave equation with a delay term in the boundary or internal feedbacks. (English) Zbl 1180.35095

SIAM J. Control Optim. 45, No. 5, 1561-1585 (2006).

MSC: 35B35 35L05 93D15 35L20 35R10

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Arsenashvili, A.; Ramishvili, I.; Tadumadze, T.

Necessary conditions of optimality for neutral variable structure optimal problems with discontinuous initial condition. (English) Zbl 1146.49020

Mem. Differ. Equ. Math. Phys. 39, 1-34 (2006).

Reviewer: Rosa Maria Bianchini (Firenze)

MSC: 49K25 34K35 34K40 93B12

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Lukàčová-Medviďová, M.; Warnecke, G.; Zahaykah, Y.

On the stability of evolution Galerkin schemes applied to a two-dimensional wave equation system. (English) Zbl 1122.65079

SIAM J. Numer. Anal. 44, No. 4, 1556-1583 (2006).

MSC: 65M12 65M60 65T50 35L45

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Del Santo, Daniele; Prizzi, Martino

On the backward uniqueness property for a class of parabolic operators. (English) Zbl 1166.35025

Bove, Antonio (ed.) et al., Phase space analysis of partial differential equations. Basel: Birkhäuser (ISBN 978-0-8176-4511-3/hbk; 978-0-8176-4521-2/e-book). Progress in Nonlinear Differential Equations and Their Applications 69, 95-105 (2006).

Reviewer: Behzad Djafari-Rouhani (El-Paso)

MSC: 35K25 35K35 35A05

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Ma, Mingshu; Gu, Shumin; Zhu, Linlin

An explicit difference scheme with high precision for solving a parabolic equation. (Chinese. English summary) Zbl 1125.65333

Basic Sci. J. Text. Univ. 19, No. 4, 309-312 (2006).

MSC: 65M06 35A35 35K20

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Chen, Yunlei

Global classical solution of the mixed initial-boundary value problem for a kind of first order quasilinear hyperbolic system. (Chinese. English summary) Zbl 1127.35344

J. Fudan Univ., Nat. Sci. 45, No. 5, 627-631 (2006).

MSC: 35L50 35L60

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Xu, Z.; Han, H.; Wu, X.

Numerical method for the deterministic Kardar-Parisi-Zhang equation in unbounded domains. (English) Zbl 1120.65097

Commun. Comput. Phys. 1, No. 3, 479-493 (2006).

MSC: 65M06 35K55

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Xie, Naqing

Positive mass theorems and Calabi-Yau compactification. (English) Zbl 1123.83018

Ge, Mo-Lin (ed.) et al., Differential geometry and physics. Proceedings of the 23rd international conference of differential geometric methods in theoretical physics, Tianjin, China, August 20–26, 2005. Hackensack, NJ: World Scientific (ISBN 978-981-270-377-4/hbk). Nankai Tracts in Mathematics 10, 473-479 (2006).

Reviewer: Serguey M. Pokas (Odessa)

MSC: 83E30 53C80 81T30 14J32 83C40 14J81

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Dhage, B. C.

Existence theorems for \(n\)th-order discontinuous ordinary differential inclusions. (English) Zbl 1127.34304

Appl. Math. Lett. 19, No. 9, 894-900 (2006).

Reviewer: Francesca Papalini (Ancona)

MSC: 34A60 34A12

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El-Saify, H. A.

Optimal control problem for infinite order parabolic lag system. (English) Zbl 1117.49022

J. Interdiscip. Math. 9, No. 1, 99-114 (2006).

MSC: 49K20 93C20 35B37 35K35 35K50

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Rong, Yuetang; Ma, Fumin

Blow-up rate estimates of the solution for a nonlinear diffusion equation. (Chinese. English summary) Zbl 1118.35324

Pure Appl. Math. 22, No. 2, 284-288 (2006).

MSC: 35K60 35K55 35B40 35K65

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Ducomet, B.; Zlotnik, A.

On stability of the Crank-Nicolson scheme with approximate transparent boundary conditions for the Schrödinger equation. I. (English) Zbl 1119.65085

Commun. Math. Sci. 4, No. 4, 741-766 (2006).

Reviewer: Gerald W. Hedstrom (Pleasanton)

MSC: 65M12 65M06 35Q40 35A22 44A10

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Han, Qiwei

Boundary condition of diffusion equation and coefficient of saturation recovery. (Chinese. English summary) Zbl 1171.35390

J. Changsha Univ. Sci. Technol., Nat. Sci. 3, No. 3, 7-19 (2006).

MSC: 35K20

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Guo, Ling; Chen, Huanzhen

\(H^1\)-Galerkin mixed finite element method for the Sobolev equation. (Chinese. English summary) Zbl 1115.65363

J. Syst. Sci. Math. Sci. 26, No. 3, 301-314 (2006).

MSC: 65M60 65M20 35K15 65M15

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Cardaliaguet, Pierre; Marchi, Claudio

Regularity of the eikonal equation with Neumann boundary conditions in the plane: application to fronts with nonlocal terms. (English) Zbl 1124.35014

SIAM J. Control Optim. 45, No. 3, 1017-1038 (2006).

Reviewer: Vasile Iftode (Bucureşti)

MSC: 35F25 35D05

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Beilin, Sergei A.

On a mixed nonlocal problem for a wave equation. (English) Zbl 1112.35337

Electron. J. Differ. Equ. 2006, Paper No. 103, 10 p. (2006).

MSC: 35L20 35L05

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Andrade, Doherty; Fatori, Luci Harue; Muñoz Rivera, Jaime E.

Nonlinear transmission problem with a dissipative boundary condition of memory type. (English) Zbl 1112.35021

Electron. J. Differ. Equ. 2006, Paper No. 53, 16 p. (2006).

MSC: 35B40 35L70 74D99 35L20

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Pulkin, Igor S.

Gevrey problem for parabolic equations with changing time direction. (English) Zbl 1112.35035

Electron. J. Differ. Equ. 2006, Paper No. 50, 9 p. (2006).

MSC: 35C10 35K05 35K20 35M99

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Dudnikova, T. V.; Komech, A. I.

On a two-temperature problem for the Klein–Gordon equation. (English) Zbl 1119.82034

Theory Probab. Appl. 50, No. 4, 582-611 (2006); translation from Teor. Veroyatn. Primen. 50, No. 4, 675-710 (2005).

Reviewer: Bassano Vacchini (Milano)

MSC: 82C31 81Q05

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Wu, Hao; Zheng, Songmu

Convergence to equilibrium for the damped semilinear wave equation with critical exponent and dissipative boundary condition. (English) Zbl 1120.35025

Q. Appl. Math. 64, No. 1, 167-188 (2006).

Reviewer: Peter Poláčik (Minneapolis)

MSC: 35B40 35L70 35L20

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Gao, Feng; Zhan, Huashui

Large time behavior of solutions to degenerate parabolic equations with absorption. (English) Zbl 1115.35347

Acta Anal. Funct. Appl. 8, No. 3, 207-217 (2006).

MSC: 35K65 35B40 35K60

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Li, Hong Yan; Zhou, Sheng Fan

One-dimensional global attractor for strongly damped wave equations with Neumann boundary condition. (Chinese. English summary) Zbl 1115.35354

Acta Math. Sin., Chin. Ser. 49, No. 6, 1381-1386 (2006).

MSC: 35L70 35B40 35B41 35L20

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Badii, Maurizio

Periodic solutions for semilinear parabolic problems with nonlinear dynamical boundary condition. (English) Zbl 1115.35070

Riv. Mat. Univ. Parma (7) 5, 57-67 (2006).

MSC: 35K60 35K55 35B10 35D05

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LeFloch, Philippe G.

Haar method, averaged matrix, wave cancellations, and \(L^{1}\) stability for hyperbolic systems. (English) Zbl 1116.35079

J. Hyperbolic Differ. Equ. 3, No. 4, 701-739 (2006).

Reviewer: Dimitar A. Kolev (Sofia)

MSC: 35L45 35L65 76L05 74J40

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Galiano, Gonzalo; Velasco, Julián

A dynamic boundary value problem arising in the ecology of mangroves. (English) Zbl 1104.92061

Nonlinear Anal., Real World Appl. 7, No. 5, 1129-1144 (2006).

MSC: 92D40 35Q92 35K35

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Souplet, Philippe; Vázquez, Juan Luis

Stabilization towards a singular steady state with gradient blow-up for a diffusion-convection problem. (English) Zbl 1116.35070

Discrete Contin. Dyn. Syst. 14, No. 1, 221-234 (2006).

Reviewer: Marek Fila (Bratislava)

MSC: 35K60 35K55 35B40

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Li, Jian; Mei, Liquan; He, Yinnian

A pressure-Poisson stabilized finite element method for the non-stationary Stokes equations to circumvent the inf-sup condition. (English) Zbl 1119.65092

Appl. Math. Comput. 182, No. 1, 24-35 (2006).

Reviewer: I. N. Katz (St. Louis)

MSC: 65M60 35Q30 65M12 65M15

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Yan, Li; Mu, Chunlai

Extinction of solutions for the nonlinear parabolic equation. (Chinese. English summary) Zbl 1115.35344

J. Sichuan Univ., Nat. Sci. Ed. 43, No. 3, 514-516 (2006).

MSC: 35K60 35B05

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Sun, Zhi-Zhong

The stability and convergence of an explicit difference scheme for the Schrödinger equation on an infinite domain by using artificial boundary conditions. (English) Zbl 1175.65105

J. Comput. Phys. 219, No. 2, 879-898 (2006).

MSC: 65M12 65M06 65M20 35Q41

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Zha, Zhongwei

Blowing-up property of the solution for quasi linear parabolic equations and its application. (English. English summary) Zbl 1108.35360

J. Sichuan Univ., Nat. Sci. Ed. 43, No. 4, 738-743 (2006).

MSC: 35K60 35K55 35B40 76S05

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Diblik, Josef; Khusainov, Timur D.; Khusainov, Denys Ya.

On construction of solution of linear homogeneous systems with weak delay. (Ukrainian. English summary) Zbl 1122.39301

Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2006, No. 2, 166-174 (2006).

MSC: 39A10

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Hashim, Ishak

Comparing numerical methods for the solutions of two-dimensional diffusion with an integral condition. (English) Zbl 1105.65103

Appl. Math. Comput. 181, No. 2, 880-885 (2006).

MSC: 65M70 65M06 35K05

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Lee, H. Y.

Error analysis of finite element approximation of a Stefan problem with nonlinear free boundary condition. (English) Zbl 1106.65083

J. Appl. Math. Comput. 22, No. 1-2, 223-235 (2006).

Reviewer: Răzvan Răducanu (Iaşi)

MSC: 65M15 65M60 35R35 80A22 35K60 80M10

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Honoré, Bo E.; Tamer, Elie

Bounds on parameters in panel dynamic discrete choice models. (English) Zbl 1128.62125

Econometrica 74, No. 3, 611-629 (2006).

MSC: 62P20 93E12

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Morris, Jason R.

Nonautonomous semilinear parabolic equations on an infinite interval. (English) Zbl 1112.35110

Dyn. Partial Differ. Equ. 3, No. 3, 209-233 (2006).

Reviewer: Vesa Mustonen (Oulu)

MSC: 35K60 35K55 35B40 35B45 47H11

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Doescher, Erwin; De Campos Velho, Haroldo F.; Ramos, Fernando M.

Criteria for mixed grids in computational fluid dynamics. (English) Zbl 1158.76362

Math. Comput. Simul. 73, No. 1-4, 156-167 (2006).

MSC: 76M12 65M06 76D05

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Rudakov, I. A.

Periodic solutions of a nonlinear wave equation with homogeneous boundary conditions. (English. Russian original) Zbl 1112.35127

Izv. Math. 70, No. 1, 109-120 (2006); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 70, No. 1, 117-128 (2006).

Reviewer: Vesa Mustonen (Oulu)

MSC: 35L70 35L20 35B10

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Ruggeri, Tommaso

Entropy principle and global existence of smooth solutions in extended thermodynamics. (English) Zbl 1102.35344

Asakura, F. (ed.) et al., Hyperbolic problems. Theory, numerics and applications. II. Proceedings of the 10th international conference, Osaka, Japan, September 13–17, 2004. Yokohama: Yokohama Publishers (ISBN 4-946552-22-7/hbk). 267-274 (2006).

MSC: 35L45 80A05 35L65

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Coclite, Giuseppe Maria; Karlsen, Kenneth Hvistendahl

A singular limit problem for conservation laws related to the Camassa–Holm shallow water equation. (English) Zbl 1102.35010

Commun. Partial Differ. Equations 31, No. 8, 1253-1272 (2006).

Reviewer: Leonid B. Chubarov (Novosibirsk)

MSC: 35B25 76B03 76B15 35Q53 35G25 35L65

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Masmoudi, Nader; Planchon, Fabrice

On uniqueness for the critical wave equation. (English) Zbl 1106.35035

Commun. Partial Differ. Equations 31, No. 7, 1099-1107 (2006).

MSC: 35L70 35L15

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Berti, Massimiliano; Biasco, Luca

Forced vibrations of wave equations with non-monotone nonlinearities. (English) Zbl 1103.35076

Ann. Inst. Henri Poincaré, Anal. Non Linéaire 23, No. 4, 439-474 (2006).

Reviewer: Guy Katriel (Haifa)

MSC: 35L70 35B45 35B32 35L05 35L20 35B10 37K10

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Huang, Jianhua

Global attractor for reaction diffusion equations with delay. (Chinese. English summary) Zbl 1103.35306

Math. Appl. 19, No. 3, 473-478 (2006).

MSC: 35B41 35B40 35K57 35R10 35K60

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Li, Nianying; Wang, Weike

Asymptotic behavior of solutions to the one-dimensional scalar conservation law with relaxation. (Chinese. English summary) Zbl 1103.35348

Math. Appl. 19, No. 2, 348-355 (2006).

MSC: 35L65 35L45 35B40 35B45

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Villamizar-Roa, Elder J.; Rodríguez-Bellido, Maria Angeles; Rojas-Medar, Marko A.

The Boussinesq system with mixed nonsmooth boundary data. (English) Zbl 1102.35031

C. R., Math., Acad. Sci. Paris 343, No. 3, 191-196 (2006).

MSC: 35D05 35Q35 35B30

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Bianchini, Stefano

Asymptotic behavior of smooth solutions for partially dissipative hyperbolic systems and relaxation approximation. (English) Zbl 1100.35064

Sanz-Solé, Marta (ed.) et al., Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22–30, 2006. Volume III: Invited lectures. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-022-7/hbk). 147-155 (2006).

MSC: 35L60 35L65 35L45 35B40

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Vitillaro, Enzo

On the Laplace equation with non-linear dynamical boundary conditions. (English) Zbl 1102.35050

Proc. Lond. Math. Soc. (3) 93, No. 2, 418-446 (2006).

Reviewer: Messoud A. Efendiev (Berlin)

MSC: 35K55 35K90 35K60

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Liu, Hui; Rodríguez, Gabriel

Unit root tests and structural change when the initial observation is drawn from its unconditional distribution. (English) Zbl 1119.62119

Econom. J. 9, No. 2, 225-251 (2006).

MSC: 62P20 62M10 62E20

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Berthon, Christophe

Why the MUSCL-Hancock scheme is \(\text{L}^{1}\)-stable. (English) Zbl 1106.65079

Numer. Math. 104, No. 1, 27-46 (2006).

Reviewer: Leonid B. Chubarov (Novosibirsk)

MSC: 65M12 35L65 76N15 65M06 76M12

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Serre, Denis

Second order initial boundary-value problems of variational type: the incompressible case. (English) Zbl 1188.35112

Suppl. Rend. Circ. Mat. Palermo (2) 78, 285-312 (2006).

Reviewer: Catalin Popa (Iaşi)

MSC: 35L15 35L20 35Q74

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Chakraborty, Subenoy; Chakraborty, Sanjukta

Dynamical symmetry in gravitational collapse with general initial area radius. (English) Zbl 1101.83036

Mod. Phys. Lett. A 21, No. 18, 1467-1479 (2006).

MSC: 83C75 83C05

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Calabró, Francesco; Zunino, Paolo

Analysis of parabolic problems on partitioned domains with nonlinear conditions at the interface: application to mass transfer through semi-permeable membranes. (English) Zbl 1101.35044

Math. Models Methods Appl. Sci. 16, No. 4, 479-501 (2006).

MSC: 35K60 34A34 74G25 92C40

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Baccou, Jean; Liandrat, Jacques

Definition and analysis of a wavelet/fictitious domain solver for the 2D-heat equation on a general domain. (English) Zbl 1103.65105

Math. Models Methods Appl. Sci. 16, No. 6, 819-845 (2006).

Reviewer: Kai Schneider (Marseille)

MSC: 65M60 35K05 65T60 65M15

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Ang, Whye-Teong

A numerical method for the wave equation subject to a nonlocal conservation condition. (English) Zbl 1096.65100

Appl. Numer. Math. 56, No. 8, 1054-1060 (2006).

MSC: 65M70 35L05

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Serre, Denis

Second order initial boundary-value problems of variational type. (English) Zbl 1254.35138

J. Funct. Anal. 236, No. 2, 409-446 (2006).

MSC: 35L20 35A15 35B30 49J45

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Bougoffa, Lazhar

Adomian method for a class of hyperbolic equations with an integral condition. (English) Zbl 1096.65102

Appl. Math. Comput. 177, No. 2, 545-552 (2006).

MSC: 65M70 35L15

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Hsu, Pao-Tung

Estimating the boundary condition in a 3D inverse hyperbolic heat conduction problem. (English) Zbl 1096.65096

Appl. Math. Comput. 177, No. 2, 453-464 (2006).

MSC: 65M32 35L15 65M06 35R30

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Yang, Yuyue; Li, Mingjun; Shu, Shi; Xiao, Aiguo

High order schemes based on upwind schemes with modified coefficients. (English) Zbl 1099.65072

J. Comput. Appl. Math. 195, No. 1-2, 242-251 (2006).

Reviewer: Prabhat Kumar Mahanti (Saint John)

MSC: 65M06 35L45

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Uchikoshi, Keisuke

Irregularities of microhyperbolic operators. (English) Zbl 1106.35156

J. Math. Soc. Japan 58, No. 2, 453-484 (2006).

Reviewer: Andrey L. Karchevsky (Novosibirsk)

MSC: 35S10 35L30 35L80

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Sunagawa, Hideaki

Large time behavior of solutions to the Klein-Gordon equation with nonlinear dissipative terms. (English) Zbl 1107.35087

J. Math. Soc. Japan 58, No. 2, 379-400 (2006).

Reviewer: Hiroshi Uesaka (Tokyo)

MSC: 35L70 35B40 35L15

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Lü, Jincheng; Wang, Hengbin

The progressive solutions for wave equation mixed problems with odd (even) property condition. (Chinese. English summary) Zbl 1107.35379

Yantai Norm. Univ. J., Nat. Sci. 22, No. 1, 13-17 (2006).

MSC: 35L20 35L05

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Chen, Fengde; Xie, Xiangdong

Permanence and extinction in nonlinear single and multiple species system with diffusion. (English) Zbl 1090.92046

Appl. Math. Comput. 177, No. 1, 410-426 (2006).

MSC: 92D40 34A12 34C60 34K60

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Kita, Naoyasu; Segata, Jun-ichi

Time local well-posedness for the Benjamin-Ono equation with large initial data. (English) Zbl 1101.35067

Publ. Res. Inst. Math. Sci. 42, No. 1, 143-171 (2006).

MSC: 35Q53 76B55 35A07

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Han, Houde; Wu, Xiao-nan; Xu, Zhenli

Artificial boundary methods for Burgers’ equation using nonlinear boundary conditions. (English) Zbl 1096.65085

J. Comput. Math. 24, No. 3, 295-304 (2006).

MSC: 65M06 35Q53

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Barrett, John W.; Feng, Xiaobing; Prohl, Andreas

Convergence of a fully discrete finite element method for a degenerate parabolic system modelling nematic liquid crystals with variable degree of orientation. (English) Zbl 1097.35082

ESAIM, Math. Model. Numer. Anal. 40, No. 1, 175-199 (2006).

Reviewer: Angela Handlovičová (Bratislava)

MSC: 35K65 35K55 35Q35 65M12 65M60 76A15 35K50

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Full Text: DOI Numdam EuDML

Wu, Peixia

Global classical solutions to the Cauchy problem for general first order inhomogeneous quasilinear hyperbolic systems. (Chinese. English summary) Zbl 1097.35099

Chin. Ann. Math., Ser. A 27, No. 1, 93-108 (2006).

MSC: 35L60 35L45 35B40

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Beyn, Wolf-Jürgen; Lorenz, Jens

Stability of viscous profiles: Proofs via dichotomies. (English) Zbl 1105.35060

J. Dyn. Differ. Equations 18, No. 1, 141-195 (2006).

MSC: 35L65 35L40 35L50

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Ascanelli, Alessia; Cicognani, Massimo

Well-posedness of the Cauchy problem for some degenerate hyperbolic operators. (English) Zbl 1101.35058

Boggiatto, Paolo (ed.) et al., Pseudo-differential operators and related topics. Papers based on lectures given at the international conference, Växjö University, Sweden, June 22 to June 25, 2005. Basel: Birkhäuser (ISBN 3-7643-7513-2/hbk). Operator Theory: Advances and Applications 164, 23-41 (2006).

Reviewer: Luigi Rodino (Torino)

MSC: 35L80 35L15 35S05 35A05

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Zhang, Kewei

Existence of infinitely many solutions for the one-dimensional Perona-Malik model. (English) Zbl 1096.35067

Calc. Var. Partial Differ. Equ. 26, No. 2, 171-199 (2006).

MSC: 35K60 35K65 94A08 68M10

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Kadalbajoo, M. K.; Kumar, Ritesh

A high resolution total variation diminishing scheme for hyperbolic conservation law and related problems. (English) Zbl 1118.65094

Appl. Math. Comput. 175, No. 2, 1556-1573 (2006).

Reviewer: Petr Sváček (Praha)

MSC: 65M06 65M15 35L65 35R05

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Guo, L.; Chen, H.

\(H^1\)-Galerkin mixed finite element method for the regularized long wave equation. (English) Zbl 1098.65096

Computing 77, No. 2, 205-221 (2006).

Reviewer: Kai Schneider (Marseille)

MSC: 65M60 35L75 65M15 35Q51 76B15 76X05 76M10

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Kubo, Masahiro; Lu, Quqin

Evolution equations for nonlinear degenerate parabolic PDE. (English) Zbl 1103.35054

Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 64, No. 8, 1849-1859 (2006).

Reviewer: Vladimir N. Grebenev (Novosibirsk)

MSC: 35K65 35K55 58J35 35K60 35K90 47H05 47H04

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Lasiecka, Irena; Toundykov, Daniel

Energy decay rates for the semilinear wave equation with nonlinear localized damping and source terms. (English) Zbl 1096.35021

Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 64, No. 8, 1757-1797 (2006).

MSC: 35B40 35L70 35L20

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Found 121 Documents (Results 1–100)

Computation of paraxial wave fields using transparent boundary conditions. (Russian. English summary) Zbl 07811667

Generalized solutions to singular initial-boundary hyperbolic problems with non-Lipshitz nonlinearities. (English) Zbl 1274.35226

Parallel iterative procedures for a computational electromagnetic modeling based on a nonconforming mixed finite element method. (English) Zbl 1232.78010

The Lie-group shooting method for nonlinear two-point boundary value problems exhibiting multiple solutions. (English) Zbl 1232.65108

Quasilinear parabolic P.D.E.s with discontinuous hysteresis. (English) Zbl 1232.35087

Numerical simulation of ice formation in a reservoir. (Russian, English) Zbl 1224.80021

On the solvability of boundary value problems for a higher order parabolic equation with growing coefficients. (English. Russian original) Zbl 1211.35136

Laws of viscoplastic fluid flow in anisotropic porous and fractured media. (English. Russian original) Zbl 1200.76010

The existence of solutions to the third order semilinear pseudoparabolic boundary value problems. (English) Zbl 1195.35191

Oscillations of hyperbolic systems with functional arguments. (English) Zbl 1176.35014

A mathematical model for the mechanical etching of glass. (English) Zbl 1309.82036

On the dynamics of a Bunsen flame. (English) Zbl 1309.80004

Warped MPDAE models with continuous phase conditions. (English) Zbl 1308.94125

A state feedback control scheme for the generalized Korteweg-de Vries-Burgers equation. (English) Zbl 1157.65408

Adequate numerical solution of air pollution problems by positive difference schemes on unbounded domains. (English) Zbl 1137.65395

Bifurcation diagrams to an elliptic equation involving the critical Sobolev exponent with the Robin condition. (English) Zbl 1152.35372

Nicholson’s blowflies equation with a distributed delay. (English) Zbl 1146.34056

Nonlinear oscillations for the one-dimensional wave equation with a jump nonlinearity. (English. Russian original) Zbl 1140.35332

An a priori estimate for the solution of a mixed problem for the heat equation. (English. Russian original) Zbl 1141.35341

Young measure solutions of the two-dimensional Perona-Malik equation in image processing. (English) Zbl 1141.35012

The uniform boundedness and threshold for the global existence of the radial solution to a drift-diffusion system. (English) Zbl 1259.35112

Efficient mass of a material point moving along a string on the Winkler base. (Russian) Zbl 1126.70352

CFL condition and boundary conditions for DGM approximation of convection-diffusion. (English) Zbl 1129.65066

The solution of wave equation with delay. (Ukrainian. English summary) Zbl 1142.35621

An embedded boundary method for the wave equation with discontinuous coefficients. (English) Zbl 1131.65075

Compatibility of norms in the analysis of difference schemes for the Samarskii-Ionkin problem. (English. Russian original) Zbl 1126.65076

The superconvergence analysis of interracial and differential equation with interracial boundary condition on anisotropic meshes. (Chinese. English summary) Zbl 1125.65336

Grid approximation of singularly perturbed parabolic convection-diffusion equations subject to a piecewise smooth initial condition. (Russian, English) Zbl 1210.35148

Stability and instability results of the wave equation with a delay term in the boundary or internal feedbacks. (English) Zbl 1180.35095

Necessary conditions of optimality for neutral variable structure optimal problems with discontinuous initial condition. (English) Zbl 1146.49020

On the stability of evolution Galerkin schemes applied to a two-dimensional wave equation system. (English) Zbl 1122.65079

On the backward uniqueness property for a class of parabolic operators. (English) Zbl 1166.35025

An explicit difference scheme with high precision for solving a parabolic equation. (Chinese. English summary) Zbl 1125.65333

Global classical solution of the mixed initial-boundary value problem for a kind of first order quasilinear hyperbolic system. (Chinese. English summary) Zbl 1127.35344

Numerical method for the deterministic Kardar-Parisi-Zhang equation in unbounded domains. (English) Zbl 1120.65097

Positive mass theorems and Calabi-Yau compactification. (English) Zbl 1123.83018

Existence theorems for \(n\)th-order discontinuous ordinary differential inclusions. (English) Zbl 1127.34304

Optimal control problem for infinite order parabolic lag system. (English) Zbl 1117.49022

Blow-up rate estimates of the solution for a nonlinear diffusion equation. (Chinese. English summary) Zbl 1118.35324

On stability of the Crank-Nicolson scheme with approximate transparent boundary conditions for the Schrödinger equation. I. (English) Zbl 1119.65085

Boundary condition of diffusion equation and coefficient of saturation recovery. (Chinese. English summary) Zbl 1171.35390

\(H^1\)-Galerkin mixed finite element method for the Sobolev equation. (Chinese. English summary) Zbl 1115.65363

Regularity of the eikonal equation with Neumann boundary conditions in the plane: application to fronts with nonlocal terms. (English) Zbl 1124.35014

On a mixed nonlocal problem for a wave equation. (English) Zbl 1112.35337

Nonlinear transmission problem with a dissipative boundary condition of memory type. (English) Zbl 1112.35021

Gevrey problem for parabolic equations with changing time direction. (English) Zbl 1112.35035

On a two-temperature problem for the Klein–Gordon equation. (English) Zbl 1119.82034

Convergence to equilibrium for the damped semilinear wave equation with critical exponent and dissipative boundary condition. (English) Zbl 1120.35025

Large time behavior of solutions to degenerate parabolic equations with absorption. (English) Zbl 1115.35347

One-dimensional global attractor for strongly damped wave equations with Neumann boundary condition. (Chinese. English summary) Zbl 1115.35354

Periodic solutions for semilinear parabolic problems with nonlinear dynamical boundary condition. (English) Zbl 1115.35070

Haar method, averaged matrix, wave cancellations, and \(L^{1}\) stability for hyperbolic systems. (English) Zbl 1116.35079

A dynamic boundary value problem arising in the ecology of mangroves. (English) Zbl 1104.92061

Stabilization towards a singular steady state with gradient blow-up for a diffusion-convection problem. (English) Zbl 1116.35070

A pressure-Poisson stabilized finite element method for the non-stationary Stokes equations to circumvent the inf-sup condition. (English) Zbl 1119.65092

Extinction of solutions for the nonlinear parabolic equation. (Chinese. English summary) Zbl 1115.35344

The stability and convergence of an explicit difference scheme for the Schrödinger equation on an infinite domain by using artificial boundary conditions. (English) Zbl 1175.65105

Blowing-up property of the solution for quasi linear parabolic equations and its application. (English. English summary) Zbl 1108.35360

On construction of solution of linear homogeneous systems with weak delay. (Ukrainian. English summary) Zbl 1122.39301

Comparing numerical methods for the solutions of two-dimensional diffusion with an integral condition. (English) Zbl 1105.65103

Error analysis of finite element approximation of a Stefan problem with nonlinear free boundary condition. (English) Zbl 1106.65083

Bounds on parameters in panel dynamic discrete choice models. (English) Zbl 1128.62125

Nonautonomous semilinear parabolic equations on an infinite interval. (English) Zbl 1112.35110

Criteria for mixed grids in computational fluid dynamics. (English) Zbl 1158.76362

Periodic solutions of a nonlinear wave equation with homogeneous boundary conditions. (English. Russian original) Zbl 1112.35127

Entropy principle and global existence of smooth solutions in extended thermodynamics. (English) Zbl 1102.35344

A singular limit problem for conservation laws related to the Camassa–Holm shallow water equation. (English) Zbl 1102.35010

On uniqueness for the critical wave equation. (English) Zbl 1106.35035

Forced vibrations of wave equations with non-monotone nonlinearities. (English) Zbl 1103.35076

Global attractor for reaction diffusion equations with delay. (Chinese. English summary) Zbl 1103.35306

Asymptotic behavior of solutions to the one-dimensional scalar conservation law with relaxation. (Chinese. English summary) Zbl 1103.35348

The Boussinesq system with mixed nonsmooth boundary data. (English) Zbl 1102.35031

Asymptotic behavior of smooth solutions for partially dissipative hyperbolic systems and relaxation approximation. (English) Zbl 1100.35064

On the Laplace equation with non-linear dynamical boundary conditions. (English) Zbl 1102.35050