Elementary Construction of the Sheaf of Small 2-microfunctions and an Estimate of Supports
Shota Funakoshi
Abstract
Open-access reader
Shota Funakoshi
Abstract
Open-access reader
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.
OpenAlex reports 4 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
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