Existence and asymptotic stability for the semilinear wave equation with variable-exponent nonlinearities

DOI10.1063/1.5089879zbMath1435.35256OpenAlexW2994170863MaRDI QIDQ5218769

Abita Rahmoune

Publication date: 5 March 2020

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5089879

zbMATH Keywords

boundary dampinguniform decay rates

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order semilinear hyperbolic equations (35L71)

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Cites Work

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• Calderón-Zygmund operators on generalized Lebesgue spaces Lp(⋅) and problems related to fluid dynamics
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• The existence of solutions for elliptic systems with nonuniform growth
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• Evolution PDEs with Nonstandard Growth Conditions
• Existence and asymptotic stability for the semilinear wave equation with boundary damping and source term
• Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)
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