Asymptotics of solutions to the periodic problem for the nonlinear damped wave equation

Nakao Hayashi; Pavel I. Naumkin; Joel A. Rodriguez-Ceballos

doi:10.1007/s00030-010-0058-1

Asymptotics of solutions to the periodic problem for the nonlinear damped wave equation

Nakao Hayashi, Pavel I. Naumkin, Joel A. Rodriguez-Ceballos

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

3 Citations (Scopus)

Abstract

We study large time asymptotic behavior of solutions to the periodic problem for the nonlinear damped wave equation where. We prove that if the initial data and, then there exists a unique solution of the periodic problem which has the time decay estimates for all t > 0. Moreover under some additional conditions we find the asymptotic formulas for the solutions.

Original language	English
Pages (from-to)	355-369
Number of pages	15
Journal	Nonlinear Differential Equations and Applications
Volume	17
Issue number	3
DOIs	https://doi.org/10.1007/s00030-010-0058-1
Publication status	Published - 2010 Jun
Externally published	Yes

Keywords

Asymptotics of solutions
Nonlinear damped wave equations
Periodic problem

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1007/s00030-010-0058-1

Cite this

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title = "Asymptotics of solutions to the periodic problem for the nonlinear damped wave equation",

abstract = "We study large time asymptotic behavior of solutions to the periodic problem for the nonlinear damped wave equation where. We prove that if the initial data and, then there exists a unique solution of the periodic problem which has the time decay estimates for all t > 0. Moreover under some additional conditions we find the asymptotic formulas for the solutions.",

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author = "Nakao Hayashi and Naumkin, {Pavel I.} and Rodriguez-Ceballos, {Joel A.}",

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AU - Hayashi, Nakao

AU - Naumkin, Pavel I.

AU - Rodriguez-Ceballos, Joel A.

PY - 2010/6

Y1 - 2010/6

N2 - We study large time asymptotic behavior of solutions to the periodic problem for the nonlinear damped wave equation where. We prove that if the initial data and, then there exists a unique solution of the periodic problem which has the time decay estimates for all t > 0. Moreover under some additional conditions we find the asymptotic formulas for the solutions.

AB - We study large time asymptotic behavior of solutions to the periodic problem for the nonlinear damped wave equation where. We prove that if the initial data and, then there exists a unique solution of the periodic problem which has the time decay estimates for all t > 0. Moreover under some additional conditions we find the asymptotic formulas for the solutions.

KW - Asymptotics of solutions

KW - Nonlinear damped wave equations

KW - Periodic problem

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ER -

Asymptotics of solutions to the periodic problem for the nonlinear damped wave equation

Abstract

Keywords

ASJC Scopus subject areas

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