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^*

^*この研究の対応する著者

研究成果: Article › 査読

9 被引用数 (Scopus)

抄録

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.

本文言語	English
ページ（範囲）	582-588
ページ数	7
ジャーナル	Journal of Mathematical Analysis and Applications
巻	326
号	1
DOI	https://doi.org/10.1016/j.jmaa.2006.01.086
出版ステータス	Published - 2007 2月 1
外部発表	はい

ASJC Scopus subject areas

分析
応用数学

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10.1016/j.jmaa.2006.01.086

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引用スタイル

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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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AU - Mochizuki, Kiyoshi

AU - Nakao, Mitsuhiro

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

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