Nonexistence of global solutions of wave equations with weak time-dependent damping and combined nonlinearity

Ning An Lai, Hiroyuki Takamura

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)

Abstract

In our previous two works, we studied the blow-up and lifespan estimates for damped wave equations with a power nonlinearity of the solution or its derivative, with scattering damping independently. In this work, we are devoted to establishing a similar result for a combined nonlinearity. Comparing to the result of wave equation without damping, one can say that the scattering damping has no influence.

Original languageEnglish
Pages (from-to)83-96
Number of pages14
JournalNonlinear Analysis: Real World Applications
Volume45
DOIs
Publication statusPublished - 2019 Feb

Keywords

  • Blow-up
  • Combined nonlinearity
  • Lifespan
  • Scattering damping

ASJC Scopus subject areas

  • Analysis
  • Engineering(all)
  • Economics, Econometrics and Finance(all)
  • Computational Mathematics
  • Applied Mathematics

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