Interactions involving gliding rays in boundary problems for semilinear wave equations

DOI10.1215/S0012-7094-89-05917-6zbMath0798.35003MaRDI QIDQ1812881

Mark Williams

Publication date: 25 June 1992

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

semilinear wave equationanomalous singularitiescrossing of raysself-spreading

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Analyticity in context of PDEs (35A20)

Cites Work

• Self-spreading and strength of singularities for solutions to semilinear wave equations
• Régularité microlocale pour des problèmes aux limites non linéaires. (Microlocal regularity for nonlinear boundary value problems)
• Spreading of singularities at the boundary in semilinear hyperbolic mixed problems. I: Microlocal \(H^{s,s'}\) regularity
• Spreading of singularities for a semilinear wave equation
• Nonlinear microlocal analysis of semilinear hyperbolic systems in one space dimension
• Singularities of solutions to semilinear wave equations
• Singularities of boundary value problems. II
• Spreading of Singularities at the Boundary in Semilinear Hyperbolic Mixed Problems II: Crossing and Self-Spreading
• Régularité microlocale pour des problèmes de Dirichlet non linéaires non caractéristiques d'ordre deux à bord peu régulier
• Singularities of Solutions to Semilinear Boundary Value Problems

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