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