The blow-up curve of solutions for semilinear wave equations with Dirichlet boundary conditions in one space dimension

The Role of Metrics in the Theory of Partial Differential Equations ◽

10.2969/aspm/08510359 ◽

2020 ◽

Author(s):

Tetsuya Ishiwata ◽

Takiko Sasaki

Keyword(s):

Boundary Conditions ◽

Wave Equations ◽

Space Dimension ◽

Dirichlet Boundary ◽

Blow Up ◽

Dirichlet Boundary Conditions ◽

Semilinear Wave Equations ◽

One Space Dimension

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The blow-up curve of solutions of mixed problems for semilinear wave equations with exponential nonlinearities in one space dimension, I

Calculus of Variations and Partial Differential Equations ◽

10.1007/pl00009924 ◽

2001 ◽

Vol 13 (1) ◽

pp. 69-95 ◽

Cited By ~ 3

Author(s):

Paul Godin

Keyword(s):

Wave Equations ◽

Space Dimension ◽

Blow Up ◽

Semilinear Wave Equations ◽

Mixed Problems ◽

One Space Dimension

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The blow-up curve of solutions to one dimensional nonlinear wave equations with the Dirichlet boundary conditions

Japan Journal of Industrial and Applied Mathematics ◽

10.1007/s13160-019-00399-7 ◽

2019 ◽

Vol 37 (1) ◽

pp. 339-363

Author(s):

Tetsuya Ishiwata ◽

Takiko Sasaki

Keyword(s):

Boundary Conditions ◽

Nonlinear Wave ◽

Wave Equations ◽

Dirichlet Boundary ◽

Blow Up ◽

Dirichlet Boundary Conditions ◽

Nonlinear Wave Equations ◽

One Dimensional

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The blow-up curve of solutions of mixed problems for semilinear wave equations with exponential nonlinearities in one space dimension, II

Annales de l Institut Henri Poincaré C Analyse non linéaire ◽

10.1016/s0294-1449(00)00055-x ◽

2000 ◽

Vol 17 (6) ◽

pp. 779-815 ◽

Cited By ~ 2

Author(s):

Paul Godin

Keyword(s):

Wave Equations ◽

Space Dimension ◽

Blow Up ◽

Semilinear Wave Equations ◽

Mixed Problems ◽

One Space Dimension

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Blow-up phenomena in parabolic problems with time dependent coefficients under Dirichlet boundary conditions

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-2013-11493-0 ◽

2013 ◽

Vol 141 (7) ◽

pp. 2309-2318 ◽

Cited By ~ 22

Author(s):

L. E. Payne ◽

G. A. Philippin

Keyword(s):

Boundary Conditions ◽

Dirichlet Boundary ◽

Blow Up ◽

Dirichlet Boundary Conditions ◽

Time Dependent ◽

Parabolic Problems

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Construction of periodic solutions of nonlinear wave equations with Dirichlet boundary conditions by the Lindstedt series method

Journal de Mathématiques Pures et Appliquées ◽

10.1016/j.matpur.2004.01.007 ◽

2004 ◽

Vol 83 (8) ◽

pp. 1019-1065 ◽

Cited By ~ 16

Author(s):

Guido Gentile ◽

Vieri Mastropietro

Keyword(s):

Boundary Conditions ◽

Periodic Solutions ◽

Nonlinear Wave ◽

Wave Equations ◽

Dirichlet Boundary ◽

Dirichlet Boundary Conditions ◽

Nonlinear Wave Equations ◽

Series Method ◽

Lindstedt Series

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Blow-up time for a nonlocal diffusion problem with Dirichlet boundary conditions

Communications in Analysis and Geometry ◽

10.4310/cag.2008.v16.n4.a6 ◽

2008 ◽

Vol 16 (4) ◽

pp. 865-882

Author(s):

Théodore K. Boni ◽

Diabate Nabongo

Keyword(s):

Boundary Conditions ◽

Dirichlet Boundary ◽

Blow Up ◽

Diffusion Problem ◽

Dirichlet Boundary Conditions ◽

Nonlocal Diffusion

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Blow-up points to one phase Stefan problems with Dirichlet boundary conditions

Modelling and Optimization of Distributed Parameter Systems Applications to engineering ◽

10.1007/978-0-387-34922-0_6 ◽

1996 ◽

pp. 83-89 ◽

Cited By ~ 3

Author(s):

Toyohiko Aiki ◽

Hitoshi Imai

Keyword(s):

Boundary Conditions ◽

Dirichlet Boundary ◽

Blow Up ◽

Dirichlet Boundary Conditions ◽

Stefan Problems

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Dirichlet boundary conditions can prevent blow-up in reaction-diffusion equations and systems

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2006.14.63 ◽

2005 ◽

Vol 14 (1) ◽

pp. 63-74 ◽

Cited By ~ 2

Author(s):

Juan-Luis Vázquez ◽

Hirokazu Ninomiya ◽

Marek Fila

Keyword(s):

Boundary Conditions ◽

Dirichlet Boundary ◽

Blow Up ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Dirichlet Boundary Conditions ◽

Diffusion Equations

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Global and blow‐up analysis for a class of nonlinear reaction diffusion model with Dirichlet boundary conditions

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.5241 ◽

2018 ◽

Vol 41 (17) ◽

pp. 7789-7803 ◽

Cited By ~ 3

Author(s):

Lingling Zhang ◽

Hui Wang ◽

Xiaoqiang Wang

Keyword(s):

Boundary Conditions ◽

Diffusion Model ◽

Dirichlet Boundary ◽

Blow Up ◽

Reaction Diffusion ◽

Dirichlet Boundary Conditions ◽

Blow Up Analysis ◽

Nonlinear Reaction ◽

Reaction Diffusion Model

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Uniform exponential energy decay of wave equations in a bounded region with L2(0, ∞; L2 (Γ))-feedback control in the Dirichlet boundary conditions

Journal of Differential Equations ◽

10.1016/0022-0396(87)90025-8 ◽

1987 ◽

Vol 66 (3) ◽

pp. 340-390 ◽

Cited By ~ 88

Author(s):

I Lasiecka ◽

R Triggiani

Keyword(s):

Feedback Control ◽

Boundary Conditions ◽

Wave Equations ◽

Dirichlet Boundary ◽

Energy Decay ◽

Dirichlet Boundary Conditions ◽

Bounded Region ◽

Exponential Energy Decay

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