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Nonexistence of global weak solutions to semilinear wave equations involving time-dependent structural damping terms
- Publication Year :
- 2023
-
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.<br />Comment: arXiv admin note: text overlap with arXiv:2111.01433
- Subjects :
- Mathematics - Analysis of PDEs
Mathematics - Functional Analysis
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2305.04278
- Document Type :
- Working Paper