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arXiv · 2305.04278

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

Mokhtar Kirane·Ahmad Fino·Sebti Kerbal·Aymen Laadhari
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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.

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Mokhtar Kirane, Ahmad Fino, Sebti Kerbal, Aymen Laadhari. 2023-05-07. Nonexistence of global weak solutions to semilinear wave equations involving time-dependent structural damping terms. https://arxiv.org/abs/2305.04278

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