Spreading of singularities at the boundary in semilinear hyperbolic mixed problems. I: Microlocal \(H^{s,s'}\) regularity

DOI10.1215/S0012-7094-88-05602-5zbMath0678.58039MaRDI QIDQ1124191

Mark Williams

Publication date: 1988

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

zbMATH Keywords

singularitiessemilinear problemscharacteristic pointgeneralized bicharacteristicssemilinear strictly hyperbolic equations

Mathematics Subject Classification ID

Propagation of singularities; initial value problems on manifolds (58J47)

Related Items

Singularités des solutions d'équations d'ondes semi-linéaires ⋮ Interactions involving gliding rays in boundary problems for semilinear wave equations

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)
• Reflection of singularities of one-dimensional semilinear wave equations at boundaries
• 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
• Progressing wave solutions to certain nonlinear mixed problems
• Singularities of boundary value problems. II
• Spreading of Singularities at the Boundary in Semilinear Hyperbolic Mixed Problems II: Crossing and Self-Spreading
• Singularities of Solutions to Semilinear Boundary Value Problems
• Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
• Propagation of singularities for non-linear wave equations in one dimension
• Propagation, Interaction and Reflection of Discontinuous Progressing Waves for Semilinear Hyperbolic Systems
• Propagation of singularities of solutions to semilinear boundary value problems
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