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

Kiyoshi Mochizuki, Mitsuhiro Nakao

研究成果: Article

8 引用 (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.

元の言語English
ページ(範囲)582-588
ページ数7
ジャーナルJournal of Mathematical Analysis and Applications
326
発行部数1
DOI
出版物ステータスPublished - 2007 2 1
外部発表Yes

Fingerprint

Energy Decay
Exterior Domain
Wave equations
Boundary value problems
Stars
Wave equation
Dissipation
Infinity
Initial-boundary-value Problem
Tend
Zero
Energy

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

これを引用

Total energy decay for the wave equation in exterior domains with a dissipation near infinity. / Mochizuki, Kiyoshi; Nakao, Mitsuhiro.

:: Journal of Mathematical Analysis and Applications, 巻 326, 番号 1, 01.02.2007, p. 582-588.

研究成果: Article

@article{6d6cecbe209240a69afd4ac01c1b1f7d,
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",
month = "2",
day = "1",
doi = "10.1016/j.jmaa.2006.01.086",
language = "English",
volume = "326",
pages = "582--588",
journal = "Journal of Mathematical Analysis and Applications",
issn = "0022-247X",
publisher = "Academic Press Inc.",
number = "1",

}

TY - JOUR

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

Y1 - 2007/2/1

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

UR - http://www.scopus.com/inward/record.url?scp=33750609292&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33750609292&partnerID=8YFLogxK

U2 - 10.1016/j.jmaa.2006.01.086

DO - 10.1016/j.jmaa.2006.01.086

M3 - Article

AN - SCOPUS:33750609292

VL - 326

SP - 582

EP - 588

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

SN - 0022-247X

IS - 1

ER -