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

DOI10.1007/s13160-022-00548-5OpenAlexW4308620386MaRDI QIDQ2107471

Takiko Sasaki

Publication date: 1 December 2022

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

Full work available at URL: https://doi.org/10.1007/s13160-022-00548-5

zbMATH Keywords

one space dimensionnonlinear wave equation of derivative type

Mathematics Subject Classification ID

Initial value problems for second-order hyperbolic equations (35L15) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)

Cites Work

• The blow-up curve of solutions of mixed problems for semilinear wave equations with exponential nonlinearities in one space dimension. II
• On one-dimension semi-linear wave equations with null conditions
• Regularity and singularity of the blow-up curve for a wave equation with a derivative nonlinearity
• The blow-up curve of solutions to one dimensional nonlinear wave equations with the Dirichlet boundary conditions
• Remarks on a weighted energy estimate and its application to nonlinear wave equations 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
• On the cauchy problem for harmonic maps defined on two-dimensional Minkowski space
• 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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