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On higher-codimensional boundary value problems

Kiyoshi Takeuchi ()
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Kiyoshi Takeuchi: Hiroshima University, Department of Mathematics

A chapter in New Trends in Microlocal Analysis, 1997, pp 225-234 from Springer

Abstract: Abstract Let us consider a real analytic manifold M and its submanifold N of codimen-sion D. We take Y⊂ X as a complexification of N ⊂ M. Let M be a coherent module over the sheaf of ring D x of holomorphic differential operators on X and assume that Y is noncharacteristic for M. In this talk, we first report that we have weakened the conditions on M for the vanishing of the local cohomologies of the hyperfunction solution complex : 1 $${H^j}\mu NRHom{\varepsilon _{Dx}}(M,{B_M}) \simeq 0\;for\;j

Keywords: Elliptic System; Local Cohomology; Microlocal Analysis; Real Analytic Manifold; Closed Submanifold (search for similar items in EconPapers)
Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-4-431-68413-8_18

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DOI: 10.1007/978-4-431-68413-8_18

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