Asymptotic behavior of solutions to a class of nonlinear wave equations of sixth order with damping

In this paper, we concern with the nonlinear wave equations with nonlinear damping and source terms. By using the potential well method, we obtain a result for the global existence and asymptotic behavior of the solutions.

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Asymptotic behavior of solutions for initial–boundary value problems for strongly damped nonlinear wave equations

Nonlinear Analysis ◽

10.1016/j.na.2007.08.027 ◽

2008 ◽

Vol 69 (8) ◽

pp. 2492-2495 ◽

Cited By ~ 8

Author(s):

Runzhang Xu ◽

Yacheng Liu

Keyword(s):

Asymptotic Behavior ◽

Boundary Value Problems ◽

Nonlinear Wave ◽

Wave Equations ◽

Initial Boundary ◽

Nonlinear Wave Equations ◽

Asymptotic Behavior Of Solutions ◽

Initial Boundary Value Problems ◽

Initial Boundary Value ◽

Strongly Damped

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Asymptotic behavior of solutions for nonlinear wave equations of Kirchhoff type with a positive–negative damping

Applied Mathematics Letters ◽

10.1016/j.aml.2012.03.022 ◽

2012 ◽

Vol 25 (7) ◽

pp. 1082-1086 ◽

Cited By ~ 2

Author(s):

Shun-Tang Wu

Keyword(s):

Asymptotic Behavior ◽

Nonlinear Wave ◽

Wave Equations ◽

Nonlinear Wave Equations ◽

Asymptotic Behavior Of Solutions ◽

Kirchhoff Type ◽

Negative Damping

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Large-time asymptotic behavior of solutions of nonlinear wave equations perturbed from a stationary ground state

Communications in Partial Differential Equations ◽

10.1080/03605308308820296 ◽

1983 ◽

Vol 8 (10) ◽

pp. 1073-1099 ◽

Cited By ~ 3

Author(s):

Clayton Keller

Keyword(s):

Asymptotic Behavior ◽

Nonlinear Wave ◽

Ground State ◽

Wave Equations ◽

Large Time ◽

Nonlinear Wave Equations ◽

Asymptotic Behavior Of Solutions ◽

Time Asymptotic Behavior

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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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Asymptotic behavior in time of small solutions to nonlinear wave equations in an exterior domain

Communications in Partial Differential Equations ◽

10.1080/03605300008821520 ◽

2000 ◽

Vol 25 (3-4) ◽

pp. 423-456 ◽

Cited By ~ 1

Author(s):

Nakao Hayashi

Keyword(s):

Asymptotic Behavior ◽

Nonlinear Wave ◽

Exterior Domain ◽

Wave Equations ◽

Nonlinear Wave Equations

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Asymptotic behavior for systems of nonlinear wave equations with multiple propagation speeds in three space dimensions

Journal of Differential Equations ◽

10.1016/j.jde.2013.04.003 ◽

2013 ◽

Vol 255 (1) ◽

pp. 120-150 ◽

Cited By ~ 2

Author(s):

Soichiro Katayama

Keyword(s):

Asymptotic Behavior ◽

Nonlinear Wave ◽

Wave Equations ◽

Nonlinear Wave Equations ◽

Three Space

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On the asymptotic behavior of nonlinear wave equations

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-1973-0330782-7 ◽

1973 ◽

Vol 182 ◽

pp. 187-187 ◽

Cited By ~ 34

Author(s):

Robert T. Glassey

Keyword(s):

Asymptotic Behavior ◽

Nonlinear Wave ◽

Wave Equations ◽

Nonlinear Wave Equations

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Global Solutions and the Asymptotic Behavior for Nonlinear Wave Equations with Small Initial Data

10.2969/msjmemoirs/036010000 ◽

2017 ◽

Keyword(s):

Asymptotic Behavior ◽

Initial Data ◽

Nonlinear Wave ◽

Wave Equations ◽

Global Solutions ◽

Nonlinear Wave Equations ◽

Small Initial Data

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