Microlocal boundary value problem in higher codimensions

Kiyoshi Takeuchi

doi:10.24033/bsmf.2280

Microlocal boundary value problem in higher codimensions

Kiyoshi Takeuchi

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

The aim of this paper is to set up the microlocal study of higher codimensional boundary value problems by solving a part of Schapira's conjecture on the concentration of the complex C_{Ω| X} of sheaves. We prove the microlocal injectivity of the higher codimensional boundary value morphism as an application of the new correspondence between the complex C_{Ω| X} and the second microfunction C_{M L} of Kataoka-Tose-Okada and Schapira-Takeuchi. The Kashiwara-Kawaï's extension theorem will be generalized to non elliptic equations.

Original language	English
Pages (from-to)	243-276
Number of pages	34
Journal	Bulletin de la Societe Mathematique de France
Volume	124
Issue number	2
DOIs	https://doi.org/10.24033/bsmf.2280
Publication status	Published - 1996
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)

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Microlocal boundary value problem in higher codimensions

Abstract

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