Classical Microlocal Analysis in the Space of Hyperfunctions / Edition 1

by Seiichiro Wakabayashi

Overview

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.

Product Details

ISBN-13:	9783540676034
Publisher:	Springer Berlin Heidelberg
Publication date:	07/26/2000
Series:	Lecture Notes in Mathematics , #1737
Edition description:	2000
Pages:	370
Product dimensions:	6.10(w) x 9.25(h) x 0.03(d)

Table of Contents

Hyperfunctions.- Basic calculus of fourier integral operators and pseudodifferential operators.- Analytic wave front sets and microfunctions.- Microlocal uniqueness.- Local solvability.

Editorial Reviews

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)

From the Publisher