Global existence and decay of energy for a nonlinear wave equation with \(p\)-Laplacian damping

DOI10.3934/dcds.2012.32.4361zbMath1254.35137OpenAlexW2033781414MaRDI QIDQ1760091

Mohammad A. Rammaha, Zahava Wilstein, Daniel Toundykov

Publication date: 12 November 2012

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2012.32.4361

zbMATH Keywords

dampingDirichlet boundary conditionsourcepotential wellenergy decay

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Stability in context of PDEs (35B35) Wave equation (35L05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Higher-order quasilinear hyperbolic equations (35L77)

Related Items

Local and global existence of solutions to a strongly damped wave equation of the \(p\)-Laplacian type, Weak solutions and blow-up for wave equations of p-Laplacian type with supercritical sources, A class of viscoelastic wave equations with exponential source and the nonlinear strong damping, Global existence, energy decay, and blowup of solutions for a wave equation type \(p\)-Laplacian with memory term and dynamic boundary conditions, Global well-posedness and stability of semilinear Mindlin-Timoshenko system, Abstract wave equation with monotone operator damping in Banach spaces, Energy decay of a viscoelastic wave equation with supercritical nonlinearities, Blow-up of a hyperbolic equation of viscoelasticity with supercritical nonlinearities, Stability of Mindlin-Timoshenko plate with nonlinear boundary damping and boundary sources, Hadamard well-posedness for a hyperbolic equation of viscoelasticity with supercritical sources and damping