Total energy decay for the wave equation in exterior domains with a dissipation near infinity

Kiyoshi Mochizuki; Mitsuhiro Nakao

doi:10.1016/j.jmaa.2006.01.086

Total energy decay for the wave equation in exterior domains with a dissipation near infinity

Kiyoshi Mochizuki, Mitsuhiro Nakao^*

^*Corresponding author for this work

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

9 Citations (Scopus)

Abstract

We show that the energy of solutions to the initial boundary value problem for the wave equation in exterior domains with a dissipation which is localized only near infinity tends to zero as the time goes to infinity. We do not make any geometrical condition like star-shapedness on the boundary.

Original language	English
Pages (from-to)	582-588
Number of pages	7
Journal	Journal of Mathematical Analysis and Applications
Volume	326
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2006.01.086
Publication status	Published - 2007 Feb 1
Externally published	Yes

Keywords

Dissipation
Energy decay
Exterior domains
Wave equations

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jmaa.2006.01.086

Cite this

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title = "Total energy decay for the wave equation in exterior domains with a dissipation near infinity",

abstract = "We show that the energy of solutions to the initial boundary value problem for the wave equation in exterior domains with a dissipation which is localized only near infinity tends to zero as the time goes to infinity. We do not make any geometrical condition like star-shapedness on the boundary.",

keywords = "Dissipation, Energy decay, Exterior domains, Wave equations",

author = "Kiyoshi Mochizuki and Mitsuhiro Nakao",

year = "2007",

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doi = "10.1016/j.jmaa.2006.01.086",

language = "English",

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T1 - Total energy decay for the wave equation in exterior domains with a dissipation near infinity

AU - Mochizuki, Kiyoshi

AU - Nakao, Mitsuhiro

PY - 2007/2/1

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N2 - We show that the energy of solutions to the initial boundary value problem for the wave equation in exterior domains with a dissipation which is localized only near infinity tends to zero as the time goes to infinity. We do not make any geometrical condition like star-shapedness on the boundary.

AB - We show that the energy of solutions to the initial boundary value problem for the wave equation in exterior domains with a dissipation which is localized only near infinity tends to zero as the time goes to infinity. We do not make any geometrical condition like star-shapedness on the boundary.

KW - Dissipation

KW - Energy decay

KW - Exterior domains

KW - Wave equations

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M3 - Article

AN - SCOPUS:33750609292

SN - 0022-247X

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SP - 582

EP - 588

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

Total energy decay for the wave equation in exterior domains with a dissipation near infinity

Abstract

Keywords

ASJC Scopus subject areas

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