Topological boundary values and regular \(\mathcal D\)-modules

DOI10.1215/S0012-7094-98-09308-5zbMath0951.32007OpenAlexW2006542010MaRDI QIDQ1974820

Teresa Monteiro Fernandes, Yves Laurent

Publication date: 27 March 2000

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-98-09308-5

zbMATH Keywords

hyperfunctionmicrofunctionmicrolocal analysis\(\mathcal D\)-moduleFuchsian and hyperbolic operatorgeometric boundary valuegeometric vanishing cyclesvanishing cycles of \(\mathcal D\)-module

Mathematics Subject Classification ID

Sheaves of differential operators and their modules, (D)-modules (32C38) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Relations of PDEs on manifolds with hyperfunctions (58J15)

Cites Work

• Systèmes différentiels fuchsiens le long d'une sous-variété. (Fuchsian differential systems along a submanifold)
• Systems of differential equations with regular singularities and their boundary value problems
• Micro-hyperbolic systems
• Vanishing cycles of \(D\)-modules
• Cycles évanescents, spécialisation et \({\mathcal D}\)-modules. (Nearby cycles, specialization and \({\mathcal D}\)-modules.)
• Théorie de la deuxième microlocalisation dans le domaine complexe
• A definition of boundary values of solutions of partial differential equations with regular singularities
• Polygône de Newton et $b$-fonctions pour les modules microdifférentiels
• Microlocal analysis
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