Mixed amplitude solutions of semilinear systems of 3-dimensional wave equations

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Abstract

In this paper we study a global in time existence of classical solutions of semilinear systems of 3-dimensional wave equations. We see that one component of the global in time solution can be arbitrarily large if another component is small enough according to some balance of each amplitude. Also its sharpness is discussed. This is a specific nature of strongly coupled systems.

Original languageEnglish
Pages (from-to)99-112
Number of pages14
JournalAsymptotic Analysis
Volume45
Issue number1-2
Publication statusPublished - 2005 Nov 7
Externally publishedYes

Keywords

  • Blow-up
  • Classical solution
  • Global existence
  • Semilinear wave equation

ASJC Scopus subject areas

  • Mathematics(all)

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