Global existence for time-dependent damped wave equations with nonlinear memory

Autor: Kirane Mokhtar, Fino Ahmad Z., Alsaedi Ahmed, Ahmad Bashir
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Advances in Nonlinear Analysis, Vol 12, Iss 1, Pp 751-773 (2023)
Druh dokumentu: article
ISSN: 2191-950X
DOI: 10.1515/anona-2023-0111
Popis: In this article, we consider the Cauchy problem for a semi-linear wave equation with time-dependent damping and memory nonlinearity. Conditions for global existence are presented in the energy space H1(Rn)×L2(Rn){H}^{1}\left({{\mathbb{R}}}^{n})\times {L}^{2}\left({{\mathbb{R}}}^{n}), n≥1n\ge 1.
Databáze: Directory of Open Access Journals