ENGLISH

Classical Microlocal Analysis in the Space of Hyperfunctions

By Seiichiro Wakabayashi (eds.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2000
ISBN
3540676031, 9783540676034
DOI
10.1007/BFb0103767
ISSN
0075-8434
Open Library ID
OL9063390M
Language
english
Format
DJVU
Filesize
2 MB (2127669 bytes)
Series
Lecture Notes in Mathematics 1737
Edition
1
Pages
370\372
Library
Kolxo3
DPI
300
Time added
2009-07-20 03:45:11
Analysis; Partial Differential Equations

Description

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.

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