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

Abstract

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

arXiv admin note: text overlap with arXiv:2111.01433