Microlocal direct images of simple sheaves with applications to systems with simple characteristics

DOI10.24033/bsmf.2273zbMath0869.58050OpenAlexW2469440351MaRDI QIDQ4869995

Andrea D'Agnolo, Giuseppe Zampieri

Publication date: 9 May 1996

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1995__123_4_605_0

zbMATH Keywords

microdifferential equationssimple sheavesmicrolocal boundary value problemssimple characteristicsmicrolocal direct images

Mathematics Subject Classification ID

Sheaves of differential operators and their modules, (D)-modules (32C38) Relations of PDEs on manifolds with hyperfunctions (58J15)

Related Items (3)

Simple sheaves along dihedral Lagrangians ⋮ Hypersurfaces through higher-codimensional submanifolds of \(\mathbb{C}^n\) with preserved Levi-kernel ⋮ Microlocal boundary value problem in higher codimensions

Cites Work

• A vanishing theorem for a class of systems with simple characteristics
• Systems of microdifferential equations. Notes and transl. by Teresa Monteiro Fernandes. Introd. by Jean-Luc Brylinski
• Levi's forms of higher codimensional submanifolds
• Negativity and vanishing of microfunction solution sheaves at the boundary
• Conditions de positivité dans une variété symplectique complexe. Application à l'étude des microfonctions
• Vanishing theorem for sheaves of microfunctions at the boundary on cr–manifolds
• Fourier integral operators with complex phase functions and parametrix for an interior boundary value problem
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