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math.APFeb 22, 2020
1
citations (OpenAlex)
authors
  • Yoshinori Nishii
  • Hideaki Sunagawa
  • Hiroki Terashita
institutions
  • Osaka City University
  • The University of Osaka
arXiv abstractPDF
paper

Energy decay for small solutions to semilinear wave equations with weakly dissipative structure

arXiv:2002.09639 · doi:10.2969/jmsj/84148414

Abstract

This article gives an energy decay result for small data solutions to a class of semilinear wave equations in two space dimensions possessing weakly dissipative structure relevant to the Agemi condition.

arXiv comment15 pages

References in corpus (7)

  • Global existence for the Einstein vacuum equations in wave coordinates
  • Energy decay for systems of semilinear wave equations with dissipative structure in two space dimensions
  • Large time asymptotics for a cubic nonlinear Schrödinger system in one space dimension
  • The lifespan of small solutions to cubic derivative nonlinear Schrödinger equations in one space dimension
  • Global existence for a system of quasi-linear wave equations in 3D satisfying the weak null condition
  • On Agemi-type structural conditions for a system of semilinear wave equations
  • Remarks on a system of quasi-linear wave equations in 3D satisfying the weak null condition
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