Asymptotic behavior of the wave equation solution with nonlinear boundary damping and source term of variable exponent-type

In this study, a nonlinear damped wave equation within a bounded domain was considered. We began by demonstrating the global existence of solutions through the application of the well-depth method. Following this, a general decay rate for the solutions was established using the multiplier method alo...

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Bibliographic Details
Main Authors: Adel M. Al-Mahdi, Mohammad M. Al-Gharabli, Mohammad Kafini
Format: Article
Language:English
Published: AIMS Press 2024-10-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20241479?viewType=HTML