The lower bounds of life span of classical solutions to one-dimensional initial-Neumann boundary value problems for general quasilinear wave equations

DOI10.1002/MMA.3530zbMath1337.35015OpenAlexW2100301497MaRDI QIDQ2802682

Wei Han

Publication date: 26 April 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3530

zbMATH Keywords

initial-boundary value problemNeumann boundary conditionsexterior domainRobin boundary conditionsone space dimensionlife spangeneral quasilinear wave equationsinitial-Dirichlet boundary value problem

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 (1)

The fundamental analysis method for the blow-up of wave equations in first quadrant

Cites Work

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• 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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