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A Blow-Up Result in a Nonlinear Wave Equation with Delay

Research output: Contribution to journal › Article › peer-review

50 Scopus citations

Abstract

In this paper, we consider a nonlinear wave equation with delay. We show that under suitable conditions on the initial data, the weights of the damping, the delay term and the nonlinear source, the energy of solutions blows up in a finite time.

Original languageEnglish
Pages (from-to)237-247
Number of pages11
JournalMediterranean Journal of Mathematics
Volume13
Issue number1
DOIs
StatePublished - 1 Feb 2016

Bibliographical note

Publisher Copyright:
© 2014, Springer Basel.

Keywords

  • 35B37
  • 35L55
  • 74D05
  • 93D15
  • 93D20

ASJC Scopus subject areas

  • General Mathematics

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