Decay estimates of solutions to the Cauchy problem for a wave equation with a bounded nonlinear dissipation

DOI10.4171/ZAA/1350zbMath1146.35316OpenAlexW2064063883MaRDI QIDQ931871

Soufiane Mokeddem, Abbes Benaissa

Publication date: 2 July 2008

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/show_pdf.php?issn=0232-2064&vol=27&iss=2&rank=3

zbMATH Keywords

decay rate

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Second-order nonlinear hyperbolic equations (35L70) Initial value problems for second-order hyperbolic equations (35L15)

Cites Work

• Stable and unstable sets for evolution of parabolic and hyperbolic type
• Existence of a solution of the wave equation with nonlinear damping and source terms
• Global existence and energy decay of solutions to the Cauchy problem for a wave equation with a weakly nonlinear dissipation
• Some remarks on the wave equations with nonlinear damping and source terms
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