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

Kiyoshi Mochizuki, Mitsuhiro Nakao

Research output: Contribution to journalArticle

8 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 languageEnglish
Pages (from-to)582-588
Number of pages7
JournalJournal of Mathematical Analysis and Applications
Volume326
Issue number1
DOIs
Publication statusPublished - 2007 Feb 1
Externally publishedYes

Fingerprint

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

Keywords

  • Dissipation
  • Energy decay
  • Exterior domains
  • Wave equations

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

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

In: Journal of Mathematical Analysis and Applications, Vol. 326, No. 1, 01.02.2007, p. 582-588.

Research output: Contribution to journalArticle

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