Classical Microlocal Analysis in the Space of Hyperfunctions: 1737 (Lecture Notes in Mathematics, 1737) - Softcover

Wakabayashi, Seiichiro

 
9783540676034: Classical Microlocal Analysis in the Space of Hyperfunctions: 1737 (Lecture Notes in Mathematics, 1737)
Softcover
ISBN 10: 3540676031 ISBN 13: 9783540676034
Publisher: Springer, 2000

Synopsis

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.

"synopsis" may belong to another edition of this title.

Publisher
Springer
Publication date
2000
Language
English
ISBN 10 
3540676031
ISBN 13 
9783540676034
Binding
Paperback
Number of pages
380