Elementary Construction of the Sheaf of Small 2-microfunctions and an Estimate of Supports

J. Math. Sci. Univ. Tokyo
Vol. 5 (1998), No. 1, Page 221--240.

Funakoshi, Shota
Elementary Construction of the Sheaf of Small 2-microfunctions and an Estimate of Supports
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Abstract:
The aim of this paper is to give our elementary construction of the sheaf of small 2-microfunctions and obtain an estimate of the support of solution complexes with coefficients in this sheaf. As applications we show results of solvability in the framework of microfunctions for a class of differential equations whose characteristic varieties are Lagrangian.

Mathematics Subject Classification (1991): 35A27, 32C38
Mathematical Reviews Number: MR1617077

Received: 1997-07-04