Decay result in a problem of a nonlinearly damped wave equation with variable exponent

Autor: Mohammad Kafini, Jamilu Hashim Hassan, Mohammad M. Al-Gharabli
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: AIMS Mathematics, Vol 7, Iss 2, Pp 3067-3082 (2022)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2022170?viewType=HTML
Popis: In this work we study a wave equation with a nonlinear time dependent frictional damping of variable exponent type. The existence and uniqueness results are established using Fadeo-Galerkin approximation method. We also exploit the Komornik lemma to prove the uniform stability result for the energy associated to the solution of the problem under consideration.
Databáze: Directory of Open Access Journals