Remarks on the energy decay for nonlinear wave equations with nonlinear localized dissipative terms

Mitsuhiro Nakao

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We derive an energy decay estimate for solutions to the initial-boundary value problem of a semilinear wave equation with a nonlinear localized dissipation. To overcome a difficulty related to derivative-loss mechanism we employ a 'loan' method.

Original languageEnglish
Pages (from-to)2158-2169
Number of pages12
JournalNonlinear Analysis, Theory, Methods and Applications
Volume73
Issue number7
DOIs
Publication statusPublished - 2010 Oct 1
Externally publishedYes

Keywords

  • Energy decay
  • Localized dissipation
  • Nonlinear wave equation

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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