Energy decay to the Cauchy problem for a generalised nonlinear Klein-Gordon equation with a nonlinear dissipative term

Mitsuhiro Nakao

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We derive a precise decay rate of energy of solutions to the Cauchy problem for the wave equation with a nonlinear dissipative term and an absorbing term. Due to the absorbing term the equation is regarded as a generalised Klein-Gordon equation with a nonlinear dissipative term. This observation plays an important role in the proof.

Original languageEnglish
Pages (from-to)349-362
Number of pages14
JournalInternational Journal of Dynamical Systems and Differential Equations
Volume3
Issue number3
DOIs
Publication statusPublished - 2011 Aug
Externally publishedYes

Keywords

  • Energy decay
  • Nonlinear dissipation
  • Wave equation

ASJC Scopus subject areas

  • Engineering(all)
  • Discrete Mathematics and Combinatorics
  • Control and Optimization

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