Analytic singularities and microhyperbolic boundary value problems

DOI10.1007/BF01457998zbMath0459.35007OpenAlexW2017759359MaRDI QIDQ1152024

Johannes Sjöstrand

Publication date: 1980

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163490

zbMATH Keywords

analytic singularitiesFourier integral operatorscomplex canonical transformationFourier transforms in the complex domainmicrohyperbolic boundary value problemsweighted a priori estimates

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) General theory of partial differential operators (47F05) Analyticity in context of PDEs (35A20) A priori estimates in context of PDEs (35B45) Hyperbolic equations and hyperbolic systems (35L99) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items (10)

A new formulation of local boundary value problem in the framework of hyperfunctions. III: Propagation of micro-analyticity up to the boundary ⋮ Sharp Spectral Asymptotics for Operators with Irregular Coefficients. II. Domains with Boundaries and Degenerations ⋮ Propagation of Gevrey singularities for a class of operators with triple characteristics. I ⋮ Propagation of Gevrey singularities for a class of operators with triple characteristics. II ⋮ 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) ⋮ Front d'onde analytique et décomposition microlocale des distributions ⋮ Propagation des ondes dans les variétés à coins ⋮ Propagation des ondes dans les dièdres ⋮ Convergence of domain decomposition methods via semi-classical calculus semiclassical calculus ⋮ Reflexion des singularites analytiques dans les problemes aux limites pour les systemes hyperboliques par les methodes de Kawai-Kashiwara-Sjöstrand

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Micro-hyperbolic pseudo-differential operators. I
• Propagation at the boundary and reflection of analytic singularities of solutions of linear partial differential equations. I
• Propagation of singularities and semi-global existence theorems for (pseudo-)differential operators of principal type
• Fourier integral operators. I
• On the existence and the regularity of solutions of linear pseudo- differential equations
• Propagation of analytic singularities for second order dirichlet problems.II
• Propagation of analytic singularities for second order dirichlet problems

This page was built for publication: Analytic singularities and microhyperbolic boundary value problems