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Global existence for the dissipative wave equations with space-time dependent potential

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Publication:1937733
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DOI10.1016/j.na.2012.10.015zbMath1262.35168OpenAlexW2011557816MaRDI QIDQ1937733

Maisa Khader

Publication date: 4 March 2013

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2012.10.015


zbMATH Keywords

nonlinear wave equationsenergy decay\(L^{2}\) and \(L^{p+1}\) estimates


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)


Related Items (4)

Scaling variables and asymptotic profiles for the semilinear damped wave equation with variable coefficients ⋮ Critical exponent for nonlinear wave equations with frictional and viscoelastic damping terms ⋮ Blow-up of solutions to the one-dimensional semilinear wave equation with damping depending on time and space variables ⋮ Critical exponent for the semilinear wave equations with a damping increasing in the far field




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