Decay of solutions to the Cauchy problem for the Klein-Gordon equation with a localized nonlinear dissipation

Mitsuhiro Nakao

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)

Abstract

We derive a precise decay estimate of the solutions to the Cauchy problem for the Klein-Gordon equation with a nonlinear dissipation: [formula] where ρ(x, t, v) is a function like ρ = a(x)(1 + t)θ|v|rv, − 1 < r, with a(x) ≥ 0 supported on ΩR = (x ∈ RN||x| ≥ R) for some R > 0.

Original languageEnglish
Pages (from-to)245-271
Number of pages27
JournalHokkaido Mathematical Journal
Volume27
Issue number2
DOIs
Publication statusPublished - 1998 Jan 1

Keywords

  • Decay
  • Localized dissipation
  • Wave equation

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint Dive into the research topics of 'Decay of solutions to the Cauchy problem for the Klein-Gordon equation with a localized nonlinear dissipation'. Together they form a unique fingerprint.

Cite this