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

Shota Funakoshi

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Abstract

Abstract. The aim of this paper is to give our elementary con-struction 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 mi-crofunctions for a class of differential equations whose characteristic varieties are Lagrangian. 1.

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Abstract. The aim of this paper is to give our elementary con-struction 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 mi-crofunctions for a class of differential equations whose characteristic varieties are Lagrangian. 1.

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Available abstract

Abstract. The aim of this paper is to give our elementary con-struction 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 mi-crofunctions for a class of differential equations whose characteristic varieties are Lagrangian. 1.

Key concepts: Sheaf, Mathematics, Pure mathematics, Class (philosophy), Lagrangian, Mathematical analysis, Algebra over a field, Computer science

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