Life-span of classical solutions to one dimensional initial-boundary value problems for general quasilinear wave equations with Robin boundary conditions

DOI10.1016/J.JMAA.2012.07.019zbMath1262.35149OpenAlexW2054440136MaRDI QIDQ713433

Wei Han

Publication date: 29 October 2012

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.2012.07.019

zbMATH Keywords

initial-boundary value problemRobin boundary conditionslife-spangeneral quasilinear wave equationsclassical local solutionsharp lower bound

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Blow-up in context of PDEs (35B44) Second-order quasilinear hyperbolic equations (35L72)

Related Items (3)

The fundamental analysis method for the blow-up of wave equations in first quadrant ⋮ The rescaling method for some critical quasilinear wave equations with the divergence form of the nonlinearity ⋮ The lower bounds of life span of classical solutions to one-dimensional initial-Neumann boundary value problems for general quasilinear wave equations

Cites Work

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• Blow-up of solutions to semilinear wave equations with variable coefficients and boundary
• Life-span of classical solutions to one dimensional initial-boundary value problems for general quasilinear wave equations
• Life-span of classical solutions to one dimensional nonlinear wave equations
• Life span of classical solutions to \(u_{tt} - u_{xx} =| u|^{1+\alpha}\)
• Initial value problems for nonlinear wave equations
• Life–span of classocal solutions to fully nonlinear wave equations
• Almost global existence for quasilinear wave equations in three space dimensions
• Development of Singularities of Solutions of Nonlinear Hyperbolic Partial Differential Equations
• Blow up of solutions to the Cauchy problem for nonlinear wave equations

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