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)
DOI10.1007/BF01773943zbMath0653.58039OpenAlexW2054320697MaRDI QIDQ1107892
Publication date: 1987
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01773943
bicharacteristicsanalytic wave front setboundary values of holomorphic functionsanalytic (Gevrey) singularities
Pseudodifferential operators as generalizations of partial differential operators (35S05) Pseudodifferential and Fourier integral operators on manifolds (58J40) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Continuation and prolongation of solutions to PDEs (35B60) Relations of PDEs on manifolds with hyperfunctions (58J15) Propagation of singularities; initial value problems on manifolds (58J47)
Cites Work
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- Transformation de Mellin et développements asymptotiques
- Analytic singularities and microhyperbolic boundary value problems
- Propagation of analyticity along real bicharacteristics
- Transformation of boundary problems
- Regularite gevrey pour le probleme de dirichlet dans des domaines a singularites coniques
- Propagation of analytic singularities for second order dirichlet problems
- Uniqueness theorems and wave front sets for solutions of linear differential equations with analytic coefficients
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