Reflection of singularities of one-dimensional semilinear wave equations at boundaries

DOI10.1016/0022-247X(79)90254-3zbMath0435.35055MaRDI QIDQ1140227

John A. Berning jun., Michael C. Reed

Publication date: 1979

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

energy methodglobal existencejump discontinuitiessemilinear wave equationspropagation of singularitiesNeumann and Robin's boundary conditionsreflection of singularitiesspherical blast waves

Mathematics Subject Classification ID

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

Related Items

Spreading of singularities at the boundary in semilinear hyperbolic mixed problems. I: Microlocal \(H^{s,s'}\) regularity ⋮ Propagation and reflection of regularity for semilinear hyperbolic (2 × 2) systems in one space dimension ⋮ Régularité microlocale pour des problèmes de Dirichlet non linéaires non caractéristiques d'ordre deux à bord peu régulier ⋮ Progressing wave solutions to certain nonlinear mixed problems

Cites Work

• Propagation of singularities for non-linear wave equations in one dimension
• Discontinuous Semilinear Differential Equations and Multiple Valued Maps
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