Remarks on the energy decay for nonlinear wave equations with nonlinear localized dissipative terms

Nonlinear Analysis ◽

10.1016/j.na.2010.05.042 ◽

2010 ◽

Vol 73 (7) ◽

pp. 2158-2169 ◽

Author(s):

Mitsuhiro Nakao

Keyword(s):

Nonlinear Wave ◽

Wave Equations ◽

Energy Decay ◽

Nonlinear Wave Equations ◽

Dissipative Terms

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Energy Decay for Nonlinear Wave Equations with Degenerate Dissipative Terms

Studies in Mathematics and Its Applications - Patterns and Waves - Qualitative Analysis of Nonlinear Differential Equations ◽

10.1016/s0168-2024(08)70147-4 ◽

1986 ◽

pp. 583-596 ◽

Author(s):

Mitsuhiro Nakao

Keyword(s):

Nonlinear Wave ◽

Wave Equations ◽

Energy Decay ◽

Nonlinear Wave Equations ◽

Dissipative Terms

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Global attractors for nonlinear wave equations with some nonlinear dissipative terms in exterior domains

International Journal of Dynamical Systems and Differential Equations ◽

10.1504/ijdsde.2008.022987 ◽

2008 ◽

Vol 1 (4) ◽

pp. 221

Author(s):

Mitsuhiro Nakao

Keyword(s):

Nonlinear Wave ◽

Wave Equations ◽

Global Attractors ◽

Nonlinear Wave Equations ◽

Exterior Domains ◽

Dissipative Terms

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Periodic solution and decay for some nonlinear wave equations with sublinear dissipative terms

Nonlinear Analysis ◽

10.1016/0362-546x(86)90144-6 ◽

1986 ◽

Vol 10 (6) ◽

pp. 587-602 ◽

Author(s):

Mitsuhiro Nakao

Keyword(s):

Periodic Solution ◽

Nonlinear Wave ◽

Wave Equations ◽

Nonlinear Wave Equations ◽

Dissipative Terms

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Global attractors for nonlinear wave equations with nonlinear dissipative terms

Journal of Differential Equations ◽

10.1016/j.jde.2005.09.013 ◽

2006 ◽

Vol 227 (1) ◽

pp. 204-229 ◽

Author(s):

Mitsuhiro Nakao

Keyword(s):

Nonlinear Wave ◽

Wave Equations ◽

Global Attractors ◽

Nonlinear Wave Equations ◽

Dissipative Terms

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Global attractors for nonlinear wave equations with linear dissipative terms

Boundary Value Problems ◽

10.1186/s13661-014-0276-2 ◽

2015 ◽

Vol 2015 (1) ◽

Author(s):

Zhigang Pan ◽

Dongming Yan ◽

Qiang Zhang

Keyword(s):

Nonlinear Wave ◽

Wave Equations ◽

Global Attractors ◽

Nonlinear Wave Equations ◽

Dissipative Terms

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A hybrid legendre tau method for the solution of a class of nonlinear wave equations with nonlinear dissipative terms

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20569 ◽

2010 ◽

Vol 27 (5) ◽

pp. 1055-1071 ◽

Author(s):

Fatemeh Shakeri ◽

Mehdi Dehghan

Keyword(s):

Nonlinear Wave ◽

Wave Equations ◽

Nonlinear Wave Equations ◽

Dissipative Terms

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On the energy decay for dissipative nonlinear wave equations in one space dimension

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2017.06.015 ◽

2017 ◽

Vol 455 (2) ◽

pp. 1317-1322 ◽

Author(s):

Kyouhei Wakasa ◽

Borislav Yordanov

Keyword(s):

Nonlinear Wave ◽

Wave Equations ◽

Space Dimension ◽

Energy Decay ◽

Nonlinear Wave Equations ◽

One Space Dimension

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Asymptotic behavior of a class of stochastic nonlinear wave equations with dispersive and dissipative terms

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2012.09.019 ◽

2013 ◽

Vol 14 (3) ◽

pp. 1308-1322 ◽

Author(s):

Robert Jones ◽

Bixiang Wang

Keyword(s):

Asymptotic Behavior ◽

Nonlinear Wave ◽

Wave Equations ◽

Nonlinear Wave Equations ◽

Dissipative Terms

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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 ◽

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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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