Local existence theorems and blow-up of solutions for quasi-linear hyperbolic Cauchy problems in a domain with characteristic boundary generated by initial data

DOI10.2977/prims/1195173350zbMath0713.35054OpenAlexW1990047553MaRDI QIDQ749767

Reiko Sakamoto

Publication date: 1989

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195173350

zbMATH Keywords

blowing-upunique classical solutionquasilinear Cauchy problemsmall time

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70)

Related Items (1)

Formation of singularities for a class of nonlinear, hyperbolically degenerate initial-boundary value problems

Cites Work

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• Hyperbolic Cauchy problems in a region with a characteristic boundary of full multiplicity
• An analysis for large deformation of an elastic-plastic bar under repeated axial loading. I: Derivation of basic equations
• Nonstrictly hyperbolic nonlinear systems
• Sur la solution à support compact de l’equation d’Euler compressible

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