Cauchy problem for quasi-linear wave equations with nonlinear damping and source terms

DOI10.1016/j.jmaa.2004.06.061zbMath1060.35086OpenAlexW1990401136MaRDI QIDQ1765796

Zhijian Yang

Publication date: 23 February 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.06.061

zbMATH Keywords

global solutionsnegative initial energyblow up of solutions

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (11)

Blow up for a Cauchy viscoelastic problem with a nonlinear dissipation of cubic convolution type ⋮ Existence and blow up for a nonlinear hyperbolic equation with anisotropy ⋮ Unboundedness of solutions of one third-order hyperbolic equation ⋮ Global existence of weak solutions for two-dimensional semilinear wave equations with strong damping in an exterior domain ⋮ Global well-posedness for a class of fourth-order nonlinear strongly damped wave equations ⋮ Young measure solutions for the wave equation with \(p(x, t)\)-Laplacian: existence and blow-up ⋮ Global existence of strong solutions to a class of fully nonlinear wave equations with strongly damped terms ⋮ Cauchy problem for quasi-linear wave equations with viscous damping ⋮ Blow-up phenomenon for a nonlinear wave equation with anisotropy and a source term ⋮ Finite-dimensional attractors for the quasi-linear strongly-damped wave equation ⋮ Unnamed Item

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