Propagation of singularities of solutions to semilinear boundary value problems

DOI10.1090/S0273-0979-1986-15472-8zbMath0614.35059MaRDI QIDQ4722468

Florin David, Mark Williams

Publication date: 1986

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

propagationsecond-ordersemilinearstrictly hyperbolicHamilton fieldnoncharacteristic boundarymicrolocal \(H^ r\) singularities

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Second-order nonlinear hyperbolic equations (35L70) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Propagation of singularities; initial value problems on manifolds (58J47)

Related Items (2)

Spreading of singularities at the boundary in semilinear hyperbolic mixed problems. I: Microlocal \(H^{s,s'}\) regularity ⋮ Boundary propagation of singularities for nonlinear second order Dirichlet problems

Cites Work

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• Régularité microlocale pour des problèmes aux limites non linéaires. (Microlocal regularity for nonlinear boundary value problems)
• Microlocal parametrices for diffractive boundary value problems
• Singularities of solutions to semilinear wave equations
• Propagation of singularities for hyperbolic pseudo differential operators with non-smooth coefficients
• Grazing rays and reflection of singularities of solutions to wave equations
• Singularities of boundary value problems. I

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