Global existence to the initial–boundary value problem for a system of semilinear wave equations

Mitsuhiro Nakao

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We prove the global existence of finite energy and H2 solutions for a system of nonlinear wave equations in a bounded domain. One equation of the system has a dissipative term, while another equation has no dissipative mechanism. To derive the delicate a priori estimates we employ a ‘loan’ method.

Original languageEnglish
Pages (from-to)233-257
Number of pages25
JournalNonlinear Analysis, Theory, Methods and Applications
Volume146
DOIs
Publication statusPublished - 2016 Nov 1
Externally publishedYes

Fingerprint

Semilinear Wave Equation
Wave equations
Global Existence
Nonlinear Wave Equation
A Priori Estimates
Bounded Domain
Term
Energy

Keywords

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

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

Global existence to the initial–boundary value problem for a system of semilinear wave equations. / Nakao, Mitsuhiro.

In: Nonlinear Analysis, Theory, Methods and Applications, Vol. 146, 01.11.2016, p. 233-257.

Research output: Contribution to journalArticle

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