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

DOI10.1016/j.jmaa.2011.08.071zbMath1241.35137OpenAlexW2090704341MaRDI QIDQ645389

Wei Han

Publication date: 15 November 2011

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.2011.08.071

zbMATH Keywords

initial-boundary value problemlife-spangeneral quasilinear wave equationsunique classical solution

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Second-order quasilinear hyperbolic equations (35L72)

Related Items (5)

The fundamental analysis method for the blow-up of wave equations in first quadrant ⋮ Blow up of critical semilinear wave equations on Schwarzschild spacetime ⋮ Life-span of classical solutions to one dimensional initial-boundary value problems for general quasilinear wave equations with Robin boundary conditions ⋮ 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

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