Division Theorems in Higher-codimensional Boundary Value Problems for $\cal E$-modules

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J. Math. Sci. Univ. Tokyo
Vol. 8 (2001), No. 4, Page 595--608.

Sugiki, Yuichi
Division Theorems in Higher-codimensional Boundary Value Problems for $\cal E$-modules
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Abstract:
We prove a division theorem with coefficients of relative bimicrofuntions for $\E$-modules. Our proof is based on the Cauchy-Kowalevski theorems for $\E$-modules. As one of applications, we solve Takeuchi's conjecture. We also apply his conjecture to higher-codi\-mensional boundary value problems.

Mathematics Subject Classification (2000): 32C38, 35A27

Mathematical Reviews Number: MR1868296

Received: 2000-08-21

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