Cauchy problem for hyperbolic \(\mathcal{D}\)-modules with regular singularities

DOI10.2140/pjm.1998.184.1zbMath0934.58021OpenAlexW2024950629MaRDI QIDQ1127804

Andrea D'Agnolo, Francesco Tonin

Publication date: 9 April 2000

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1998.184.1

zbMATH Keywords

distributionsboundary value problempropagationcharacteristic varietygeometric opticsregular singularitiescoherent \(\mathcal D\)-moduleshyperbolic Cauchy probleminvolutive submanifold

Mathematics Subject Classification ID

PDEs with low regular coefficients and/or low regular data (35R05) Boundary value problems for PDEs with pseudodifferential operators (35S15) Sheaf cohomology in algebraic topology (55N30) Linear higher-order PDEs (35G05) Relations of PDEs on manifolds with hyperfunctions (58J15) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20) Boundary value problems for linear first-order PDEs (35F15) Fundamental solutions to PDEs and systems of PDEs with constant coefficients (35E05)

Related Items (3)

A construction of actions on Kirchberg algebras which induce given actions on their K-groups ⋮ Microlocal Cauchy problem for distribution solutions to systems with regular singularities ⋮ Truncated microsupport and holomorphic solutions of D-modules

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