On the nonlinear type singularities for semilinear Cauchy problems

DOI10.1016/S1631-073X(02)02497-4zbMath1010.35075OpenAlexW2008657820MaRDI QIDQ1854676

Daoyuan Fang, Alain Piriou, Gilles Laschon

Publication date: 15 January 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1631-073x(02)02497-4

zbMATH Keywords

semilinear wave equationrefined hyperbolic conormal spaces

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Analyticity in context of PDEs (35A20) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (1)

Hyperbolic conormal spaces and semilinear wave equation

Cites Work

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• Self-spreading and strength of singularities for solutions to semilinear wave equations
• Interaction of progressing waves for semilinear wave equations. II
• Régularité de la solution d'un problème de Cauchy fortement non linéaire à données singulières en un point. (Regularity of the solution of a strongly nonlinear Cauchy problem with singular data in a point)
• Propagation and interaction of singularities in nonlinear hyperbolic problems
• Semi-linear Cauchy problem with conormal initial data: Regularity at an edge and principal symbol
• Lagrangian Intersection and the Cauchy Problem
• On ergodic stochastic control
• Bilinear space-time estimates for homogeneous wave equations
• Almost global existence for solution of semilinear klein-gordon equations with small weakly decaying cauchy data

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