Energy decay rate of solutions for the wave equation with singular nonlinearities

DOI10.1007/s10440-010-9588-0zbMath1207.34035OpenAlexW2155426446MaRDI QIDQ618772

Abbes Benaissa, Abdelkader Maatoug

Publication date: 17 January 2011

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-010-9588-0

zbMATH Keywords

integral inequalitiesmultiplier methodlogarithmic decaypolynomial decay exponential decayweakly nonlinear dissipative term

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order nonlinear hyperbolic equations (35L70) Degenerate hyperbolic equations (35L80) Boundary value problems on infinite intervals for ordinary differential equations (34B40)

Related Items (1)

Global existence, finite time blow-up, and vacuum isolating phenomenon for a class of thin-film equation

Cites Work

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• A new method to obtain decay rate estimates for dissipative systems
• Global existence and nonexistence for nonlinear wave equations with damping and source terms
• On nonlinear wave equations with degenerate damping and source terms
• Blow-up of generalized solutions to wave equations with nonlinear degenerate damping and source terms

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