An attractor for a nonlinear dissipative wave equation of Kirchhoff type

Mitsuhiro Nakao

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

In this paper we prove the existence and some absorbing properties of an attractor in a local sense for the initial-boundary value problem of a quasilinear wave equation of Kirchhoff type with a standard dissipation ut.

Original languageEnglish
Pages (from-to)652-659
Number of pages8
JournalJournal of Mathematical Analysis and Applications
Volume353
Issue number2
DOIs
Publication statusPublished - 2009 May 15
Externally publishedYes

Fingerprint

Quasilinear Wave Equation
Dissipative Equations
Wave equations
Absorbing
Initial-boundary-value Problem
Boundary value problems
Attractor
Wave equation
Dissipation
Standards

Keywords

  • 'Local' attractor
  • H solution
  • Kirchhoff equation

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

An attractor for a nonlinear dissipative wave equation of Kirchhoff type. / Nakao, Mitsuhiro.

In: Journal of Mathematical Analysis and Applications, Vol. 353, No. 2, 15.05.2009, p. 652-659.

Research output: Contribution to journalArticle

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