Open AccessDecay result in a problem of a nonlinearly damped wave equation with variable exponent
Author(s) -
Mohammad Kafini,
Jamilu Hashim Hassan,
Mohammad M. AlGharabli
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022170
Subject(s) - uniqueness , mathematics , damped wave , exponent , mathematical analysis , lemma (botany) , wave equation , galerkin method , work (physics) , nonlinear system , variable (mathematics) , energy (signal processing) , stability (learning theory) , energy method , mathematical physics , physics , quantum mechanics , ecology , philosophy , linguistics , statistics , poaceae , machine learning , computer science , biology
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.