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

DOI10.1016/0893-9659(92)90043-9zbMath0756.35053OpenAlexW2005264555MaRDI QIDQ1195623

Ralph Saxton

Publication date: 6 January 1993

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(92)90043-9

zbMATH Keywords

Dirichlet boundary conditionsbreakdown on the boundaryvector-valued solutions

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Shocks and singularities for hyperbolic equations (35L67) Second-order nonlinear hyperbolic equations (35L70) Initial value problems for second-order hyperbolic equations (35L15) Degenerate hyperbolic equations (35L80)

Cites Work

• Local existence theorems and blow-up of solutions for quasi-linear hyperbolic Cauchy problems in a domain with characteristic boundary generated by initial data
• Delayed singularity formation in solution of nonlinear wave equations in higher dimensions
• Global existence for nonlinear wave equations
• Development of Singularities of Solutions of Nonlinear Hyperbolic Partial Differential Equations

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