On Transitions to Stationary States in One-Dimensional Nonlinear Wave Equations

Alexander Komech

doi:10.1007/s002050050173

On Transitions to Stationary States in One-Dimensional Nonlinear Wave Equations

Archive for Rational Mechanics and Analysis ◽

10.1007/s002050050173 ◽

1999 ◽

Vol 149 (3) ◽

pp. 213-228 ◽

Cited By ~ 11

Author(s):

Alexander Komech

Keyword(s):

Nonlinear Wave ◽

Wave Equations ◽

Nonlinear Wave Equations ◽

Stationary States ◽

One Dimensional

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Differentiability of the blow-up curve for one dimensional nonlinear wave equations

Archive for Rational Mechanics and Analysis ◽

10.1007/bf00280224 ◽

1985 ◽

Vol 91 (1) ◽

pp. 83-98 ◽

Cited By ~ 32

Author(s):

Luis A. Caffarelli ◽

Avner Friedman

Keyword(s):

Nonlinear Wave ◽

Wave Equations ◽

Blow Up ◽

Nonlinear Wave Equations ◽

One Dimensional

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Controllability for one-dimensional nonlinear wave equations with degenerate damping

Systems & Control Letters ◽

10.1016/j.sysconle.2016.12.007 ◽

2017 ◽

Vol 100 ◽

pp. 66-72

Author(s):

Jieqiong Wu ◽

Xianzheng Zhu ◽

Shugen Chai

Keyword(s):

Nonlinear Wave ◽

Wave Equations ◽

Nonlinear Wave Equations ◽

One Dimensional

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Small amplitude periodic solutions in time for one-dimensional nonlinear wave equations

Analysis and Mathematical Physics ◽

10.1007/s13324-016-0137-5 ◽

2016 ◽

Vol 7 (3) ◽

pp. 219-232 ◽

Cited By ~ 1

Author(s):

Zhenjie Liu

Keyword(s):

Periodic Solutions ◽

Nonlinear Wave ◽

Small Amplitude ◽

Wave Equations ◽

Nonlinear Wave Equations ◽

One Dimensional

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On transitions to stationary states in Hamiltonian nonlinear wave equations

Physics Letters A ◽

10.1016/s0375-9601(98)00156-x ◽

1998 ◽

Vol 241 (6) ◽

pp. 311-322 ◽

Cited By ~ 5

Author(s):

Alexander Komech

Keyword(s):

Nonlinear Wave ◽

Wave Equations ◽

Nonlinear Wave Equations ◽

Stationary States

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On Morse theory and stationary states for nonlinear wave equations

Bulletin of the American Mathematical Society ◽

10.1090/s0002-9904-1970-12571-x ◽

1970 ◽

Vol 76 (4) ◽

pp. 827-830 ◽

Cited By ~ 1

Author(s):

Melvyn S. Berger

Keyword(s):

Nonlinear Wave ◽

Morse Theory ◽

Wave Equations ◽

Nonlinear Wave Equations ◽

Stationary States

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Cauchy Problem of One-Dimensional Nonlinear Wave Equations

Series in Contemporary Mathematics - Nonlinear Wave Equations ◽

10.1007/978-3-662-55725-9_8 ◽

2017 ◽

pp. 161-181

Author(s):

Tatsien Li ◽

Yi Zhou

Keyword(s):

Cauchy Problem ◽

Nonlinear Wave ◽

Wave Equations ◽

Nonlinear Wave Equations ◽

One Dimensional

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Differentiability of the Blow-up Curve for one Dimensional Nonlinear Wave Equations

Analysis and Continuum Mechanics ◽

10.1007/978-3-642-83743-2_1 ◽

1989 ◽

pp. 1-16

Author(s):

Luis A. Caffarelli ◽

Avner Friedman

Keyword(s):

Nonlinear Wave ◽

Wave Equations ◽

Blow Up ◽

Nonlinear Wave Equations ◽

One Dimensional

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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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Global existence and the asymptotic behavior for systems of nonlinear wave equations violating the null condition

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

10.2969/aspm/08510215 ◽

2020 ◽

Author(s):

Soichiro Katayama

Keyword(s):

Asymptotic Behavior ◽

Global Existence ◽

Nonlinear Wave ◽

Wave Equations ◽

Nonlinear Wave Equations ◽

Null Condition

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Stable and unstable sets for damped nonlinear wave equations with variable exponent sources

Journal of Mathematical Physics ◽

10.1063/5.0012177 ◽

2021 ◽

Vol 62 (1) ◽

pp. 011507

Author(s):

Le Cong Nhan ◽

Le Xuan Truong

Keyword(s):

Nonlinear Wave ◽

Variable Exponent ◽

Wave Equations ◽

Nonlinear Wave Equations ◽

Stable And Unstable Sets

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