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...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
AIMS Press
2024-10-01
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Series: | AIMS Mathematics |
Subjects: | |
Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20241479?viewType=HTML |