Global existence and nonexistence for the viscoelastic wave equation with nonlinear boundary damping-source interaction

DOI10.3934/cpaa.2013.12.375zbMath1270.35294OpenAlexW2318167070MaRDI QIDQ1948051

Belkacem Said-Houari, Flávio A. Falcão Nascimento

Publication date: 30 April 2013

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2013.12.375

zbMATH Keywords

compactness method boundary feedback source term relaxation function nonlinear interior damping Faedo-Galerkin approximations

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Linear constitutive equations for materials with memory (74D05) Initial value problems for second-order hyperbolic equations (35L15) Blow-up in context of PDEs (35B44) Integro-partial differential equations (35R09) Second-order semilinear hyperbolic equations (35L71)

Related Items

General decay and blow up of solutions for a system of viscoelastic wave equations with nonlinear boundary source terms ⋮ Global existence, general decay and blow-up for a nonlinear wave equation with logarithmic source term and fractional boundary dissipation ⋮ Existence and nonexistence of solution of fractional Lamé wave equation with polynomial nonlinearity source terms ⋮ General decay rates for the wave equation with mixed-type damping mechanisms on unbounded domain with finite measure ⋮ Upper semicontinuity of pullback attractors for a non-autonomous viscoelastic equation ⋮ Some well-posedness and stability results for abstract hyperbolic equations with infinite memory and distributed time delay ⋮ Well-posedness and stability results for some nonautonomous abstract linear hyperbolic equations with memory

This page was built for publication: Global existence and nonexistence for the viscoelastic wave equation with nonlinear boundary damping-source interaction