Global existence for semilinear wave equations in exterior domains

M. Nakao

Research output: Contribution to journalArticle

Abstract

We consider exterior problems for linear and semilinear wave equations. We first derive total energy decay for the linear wave equation with a localized dissipation which is effective near infinity and critical part of the boundary. This can be applied to the proof of the global existence of finite energy or H2 solutions for semilinear wave equations. Next, by use of the local energy decay: we show Lp estimates for the linear equations with a dissipation effective only near a part of the boundary and apply this again to the global existence of semilinear equations.

Original languageEnglish
Pages (from-to)2497-2506
Number of pages10
JournalNonlinear Analysis, Theory, Methods and Applications
Volume47
Issue number4
DOIs
Publication statusPublished - 2001 Aug
Externally publishedYes

Keywords

  • Energy decay
  • Global existence
  • L estimates
  • Semilinear wave equations

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Global existence for semilinear wave equations in exterior domains'. Together they form a unique fingerprint.

  • Cite this