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

Keywords

  • Dissipation
  • Energy decay
  • Exterior domains
  • Wave equations

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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