Classical Microlocal Analysis in the Space of Hyperfunctions

Beschreibung

The book develops "Classical Microlocal Analysis" in the spaces of hyperfunctions and microfunctions, which makes it possible to apply the methods in the distribution category to the studies on partial differential equations in the hyperfunction category. Here "Classical Microlocal Analysis" means that it does not use "Algebraic Analysis." The main tool in the text is, in some sense, integration by parts. The studies on microlocal uniqueness, analytic hypoellipticity and local solvability are reduced to the problems to derive energy estimates (or a priori estimates). The author assumes basic understanding of theory of pseudodifferential operators in the distribution category.
Includes supplementary material: sn.pub/extras

Autor*in

Seiichiro Wakabayashi

Themen in »Classical Microlocal Analysis in the Space of Hyperfunctions«

Microlocal analysis analytic hypoellipticity calculus differential equation hyperfunction local solvability microlocal uniqueness partial differential equation partial differential equations

Stimmen zu »Classical Microlocal Analysis in the Space of Hyperfunctions«

“This book will be very useful to everyone who wishes to work in the area of analytic coefficient partial differential equations by using methods from the usual distribution theory.” (Alberto Parmeggiani, zbMATH 0949.35003, 2022)
()

Details

Link teilen