A general nonexistence result for inhomogeneous semilinear wave equations with double damping and potential terms

Calogero Vetro, Mohamed Jleli, Bessem Samet

Risultato della ricerca: Articlepeer review

Abstract

We investigate the large-time behavior of solutions for a class of inhomogeneous semilinear wave equations involving double damping and potential terms. Namely, we first establish a general criterium for the absence of global weak solutions. Next, some special cases of potential and inhomogeneous terms are studied. In particular, when the inhomogeneous term depends only on the variable space, the Fujita critical exponent and the second critical exponent in the sense of Lee and Ni are derived.
Lingua originaleEnglish
pagine (da-a)1-6
Numero di pagine6
RivistaChaos, Solitons and Fractals
Volume144
Stato di pubblicazionePublished - 2021

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • ???subjectarea.asjc.2600.2600???
  • ???subjectarea.asjc.3100.3100???
  • Applied Mathematics

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