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

Mitsuhiro Nakao

doi:10.1016/j.na.2010.05.042

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

Mitsuhiro Nakao^*

^*Corresponding author for this work

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

4 Citations (Scopus)

Abstract

We derive an energy decay estimate for solutions to the initial-boundary value problem of a semilinear wave equation with a nonlinear localized dissipation. To overcome a difficulty related to derivative-loss mechanism we employ a 'loan' method.

Original language	English
Pages (from-to)	2158-2169
Number of pages	12
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	73
Issue number	7
DOIs	https://doi.org/10.1016/j.na.2010.05.042
Publication status	Published - 2010 Oct 1
Externally published	Yes

Keywords

Energy decay
Localized dissipation
Nonlinear wave equation

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.na.2010.05.042

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title = "Remarks on the energy decay for nonlinear wave equations with nonlinear localized dissipative terms",

abstract = "We derive an energy decay estimate for solutions to the initial-boundary value problem of a semilinear wave equation with a nonlinear localized dissipation. To overcome a difficulty related to derivative-loss mechanism we employ a 'loan' method.",

keywords = "Energy decay, Localized dissipation, Nonlinear wave equation",

author = "Mitsuhiro Nakao",

year = "2010",

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doi = "10.1016/j.na.2010.05.042",

language = "English",

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AB - We derive an energy decay estimate for solutions to the initial-boundary value problem of a semilinear wave equation with a nonlinear localized dissipation. To overcome a difficulty related to derivative-loss mechanism we employ a 'loan' method.

KW - Energy decay

KW - Localized dissipation

KW - Nonlinear wave equation

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JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 7

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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