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On the decay and global nonexistence of solutions to a damped wave equation with variable-exponent nonlinearity and delay

Research output: Contribution to journalArticlepeer-review

25 Scopus citations

Abstract

In this work, we are concerned with a delayed nonlinear wave equation with variable exponents. In the absence of the source term, we prove a decay result, while in the presence of the source term, we prove a global nonexistence result. In addition, in the latter case, the life span time is estimated.

Original languageEnglish
Pages (from-to)49-70
Number of pages22
JournalAnnales Polonici Mathematici
Volume122
Issue number1
DOIs
StatePublished - 2019

Bibliographical note

Publisher Copyright:
© Instytut Matematyczny PAN, 2019.

Keywords

  • Blow-up
  • Decay
  • Delay time
  • Life span
  • Nonlinearly damped
  • Variable exponent

ASJC Scopus subject areas

  • General Mathematics

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