Global existence and decay for nonlinear dissipative wave equations with a derivative nonlinearity

Mitsuhiro Nakao

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

We prove the global existence of the so-called H2 solutions for a nonlinear wave equation with a nonlinear dissipative term and a derivative type nonlinear perturbation. To show the boundedness of the second order derivatives we need a precise energy decay estimate and for this we employ a 'loan' method.

Original languageEnglish
Pages (from-to)2236-2248
Number of pages13
JournalNonlinear Analysis, Theory, Methods and Applications
Volume75
Issue number4
DOIs
Publication statusPublished - 2012 Mar
Externally publishedYes

Fingerprint

Energy Decay
Dissipative Equations
Nonlinear Perturbations
Second-order Derivatives
Decay Estimates
Energy Estimates
Nonlinear Wave Equation
Wave equations
Global Existence
Wave equation
Boundedness
Nonlinearity
Decay
Derivatives
Derivative
Term

Keywords

  • Energy decay
  • Global existence
  • Nonlinear dissipation
  • Nonlinear wave equation

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

Global existence and decay for nonlinear dissipative wave equations with a derivative nonlinearity. / Nakao, Mitsuhiro.

In: Nonlinear Analysis, Theory, Methods and Applications, Vol. 75, No. 4, 03.2012, p. 2236-2248.

Research output: Contribution to journalArticle

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