The blow-up curve of solutions to one dimensional nonlinear wave equations with the Dirichlet boundary conditions

DOI10.1007/s13160-019-00399-7zbMath1455.35029OpenAlexW2991066808WikidataQ126647322 ScholiaQ126647322MaRDI QIDQ2300969

Takiko Sasaki, Tetsuya Ishiwata

Publication date: 28 February 2020

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13160-019-00399-7

zbMATH Keywords

gradient blow-upblow-up curvefirst singularity datumsemilinear wave equation in one space dimension

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Blow-up in context of PDEs (35B44) Positive solutions to PDEs (35B09) Second-order semilinear hyperbolic equations (35L71)

Related Items (1)

Regularity of the blow-up curve at characteristic points for nonlinear wave equations

Cites Work

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• Blow-up behavior for the Klein-Gordon and other perturbed semilinear wave equations
• Finite-time blow-up for solutions of nonlinear wave equations
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• The blow-up curve of solutions for semilinear wave equations with Dirichlet boundary conditions in one space dimension
• Existence and classification of characteristic points at blow-up for a semilinear wave equation in one space dimension
• The Blow-Up Boundary for Nonlinear Wave Equations
• Remarks on the blow-up boundaries and rates for nonlinear wave equations
• The blow-up curve of solutions of mixed problems for semilinear wave equations with exponential nonlinearities in one space dimension. I

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