Existence of global decaying solutions to the exterior problem for the Klein-Gordon equation with a nonlinear localized dissipation and a derivative nonlinearity

Mitsuhiro Nakao

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

We prove the existence of global decaying solutions to the exterior problem for the Klein-Gordon equation with a nonlinear localized dissipation and a derivative nonlinearity. To derive the required estimates of solutions we employ a 'loan' method.

Original languageEnglish
Pages (from-to)3940-3970
Number of pages31
JournalJournal of Differential Equations
Volume255
Issue number11
DOIs
Publication statusPublished - 2013 Dec 1
Externally publishedYes

Keywords

  • Derivative nonlinearity
  • Energy decay
  • Global solutions
  • Klein-Gordon equation
  • Nonlinear dissipation

ASJC Scopus subject areas

  • Analysis

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