Nonexistence of global weak solutions to semilinear wave equations involving time-dependent structural damping terms

Mokhtar Kirane; Ahmad Fino; Sebti Kerbal; Aymen Laadhari

Nonexistence of global weak solutions to semilinear wave equations involving time-dependent structural damping terms

Analysis of PDEs 2023-05-09 v1 Functional Analysis

Authors: Mokhtar Kirane , Ahmad Fino , Sebti Kerbal , Aymen Laadhari

Abstract

We consider a semilinear wave equation involving a time-dependent structural damping term of the form $\displaystyle\frac{1}{{(1+t)}^{\beta}}(-\Delta)^{\sigma/2} u_t$ . Our results show the influence of the parameters $\beta,\sigma$ on the nonexistence of global weak solutions under assumptions on the given system data.

Keywords

semilinear wave equation time-dependent structural damping global weak solutions nonexistence parameter influence

Cite

@article{arxiv.2305.04278,
  title  = {Nonexistence of global weak solutions to semilinear wave equations involving time-dependent structural damping terms},
  author = {Mokhtar Kirane and Ahmad Fino and Sebti Kerbal and Aymen Laadhari},
  journal= {arXiv preprint arXiv:2305.04278},
  year   = {2023}
}

Comments

arXiv admin note: text overlap with arXiv:2111.01433

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