Der Artikel ist weiterhin als ^^OTHERCONDITION^^ verfügbar.

Classical Microlocal Analysis in the Space of Hyperfunctions

 Taschenbuch
Besorgungstitel | Lieferzeit:3-5 Tage I
ISBN-13:
9783540676034
Einband:
Taschenbuch
Seiten:
370
Autor:
Seiichiro Wakabayashi
Gewicht:
570 g
Format:
235x158x22 mm
Serie:
Vol.1737, Lecture Notes in Mathematics
Sprache:
Englisch
Beschreibung:

This 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.
From the contents: Hyperfunctions- Basic calculus of Fourier integral operators and pseudodifferential operators
- Analytic wave front sets and microfunctions
- Microlocal uniqueness
- Local solvability
- Proofs of product formulae
- A priori estimates

This 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.
From the contents: Hyperfunctions- Basic calculus of Fourier integral operators and pseudodifferential operators
- Analytic wave front sets and microfunctions
- Microlocal uniqueness
- Local solvability
- Proofs of product formulae
- A priori estimates
Autor: Seiichiro Wakabayashi
ISBN-13:: 9783540676034
ISBN: 3540676031
Verlag: Springer, Berlin
Gewicht: 570g
Seiten: 370
Sprache: Englisch
Sonstiges: Taschenbuch, 235x158x22 mm, VIII, 367 pp.