Asymptotic behaviors of solutions for time dependent damped wave equations

Kenji Nishihara; Jian Zhai

doi:10.1016/j.jmaa.2009.06.065

Asymptotic behaviors of solutions for time dependent damped wave equations

Kenji Nishihara^*, Jian Zhai

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

23 Citations (Scopus)

Abstract

In this paper, we consider the Cauchy problem for the wave equation with time dependent damping b (t) u_t and absorbed semilinear term

Original language	English
Pages (from-to)	412-421
Number of pages	10
Journal	Journal of Mathematical Analysis and Applications
Volume	360
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2009.06.065
Publication status	Published - 2009 Dec 15

Keywords

Absorbed semilinear term
Asymptotic behavior
Time dependent damped wave equation

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jmaa.2009.06.065

Cite this

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title = "Asymptotic behaviors of solutions for time dependent damped wave equations",

abstract = "In this paper, we consider the Cauchy problem for the wave equation with time dependent damping b (t) ut and absorbed semilinear term",

keywords = "Absorbed semilinear term, Asymptotic behavior, Time dependent damped wave equation",

author = "Kenji Nishihara and Jian Zhai",

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volume = "360",

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AU - Nishihara, Kenji

AU - Zhai, Jian

PY - 2009/12/15

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AB - In this paper, we consider the Cauchy problem for the wave equation with time dependent damping b (t) ut and absorbed semilinear term

KW - Absorbed semilinear term

KW - Asymptotic behavior

KW - Time dependent damped wave equation

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JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

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ER -

Asymptotic behaviors of solutions for time dependent damped wave equations

Abstract

Keywords

ASJC Scopus subject areas

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