Local existence and blow up of solutions to a logarithmic nonlinear wave equation with delay

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64 Scopus citations

Abstract

This paper is concerned with a problem of a logarithmic nonlinear wave equation with delay. The local existence result has been established using the semigroup theory. In addition, for negative initial energy, a finite-time blow-up result is proved.

Original languageEnglish
Pages (from-to)530-547
Number of pages18
JournalApplicable Analysis
Volume99
Issue number3
DOIs
StatePublished - 17 Feb 2020

Bibliographical note

Publisher Copyright:
© 2018, © 2018 Informa UK Limited, trading as Taylor & Francis Group.

Keywords

  • 35B05
  • 35L05
  • 35L15
  • 35L70
  • Logarithmic source
  • Scott Hansen
  • blow up
  • delay
  • negative initial energy
  • wave equation

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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