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 CΩ| 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 CΩ| X and the second microfunction CM L of Kataoka-Tose-Okada and Schapira-Takeuchi. The Kashiwara-Kawaï's extension theorem will be generalized to non elliptic equations.
|Number of pages||34|
|Journal||Bulletin de la Societe Mathematique de France|
|Publication status||Published - 1996|
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