scientific article

zbMath0452.35120MaRDI QIDQ3898932

Richard B. Melrose

Publication date: 1980

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Dirichlet problemdistributionsboundary value problemsFourier integral operatorcharacteristic setwave-front setclassical pseudo-differential operatorsgeneralized bicharacteristicsbehavior of the singularities

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Initial-boundary value problems for second-order hyperbolic equations (35L20) Shocks and singularities for hyperbolic equations (35L67) Analyticity in context of PDEs (35A20) Boundary value problems for PDEs with pseudodifferential operators (35S15) Integral, integro-differential, and pseudodifferential operators (47Gxx)

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Propagation de la polarisation pour des problemes aux limites convexes pour les bicaracteristiques. ⋮ Propagation de l'analycité le long d'une bicaractéristique réelle pour un opérateur totalement caractéristique. (Propagation of analyticity along a real bicharacteristic for a totally characteristic operator) ⋮ Microlocal regularity at the boundary for pseudo-differential operators with the transmission property. I ⋮ Initial boundary value problem for second order hyperbolic equations with general boundary conditions. I

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