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

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

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...

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Bibliographic Details
Main Authors: Mohammad Kafini, Jamilu Hashim Hassan, Mohammad M. Al-Gharabli
Format: Article
Language:English
Published: AIMS Press 2022-01-01
Series:AIMS Mathematics
Subjects:
viscoelasticity
relaxation function
general decay
logarithmic nonlinearity
variable exponent
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2022170?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2022170?viewType=HTML

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