Notice bibliographique
- Notice
Type(s) de contenu et mode(s) de consultation : Texte noté : électronique
Auteur(s) : Wakabayashi, Seiichiro (1948-....)
Titre(s) : Classical microlocal analysis in the space of hyperfunctions [Texte électronique] / Seiichiro Wakabayashi
Publication : Berlin ; New York : Springer, cop. 2000
Description matérielle : 1 online resource (viii, 367 pages)
Collection : Lecture notes in mathematics ; 1737
Note(s) : Includes bibliographical references (pages 361-364) and index
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
Sujet(s) : Hyperfonctions
Analyse microlocale
Équations aux dérivées partielles
Mathématiques
Analyse mathématique
Indice(s) Dewey :
510 (23e éd.) = Mathématiques ; 515.9 (23e éd.) = Fonctions de variables complexes
Identifiants, prix et caractéristiques : ISBN 9783540451617
Identifiant de la notice : ark:/12148/cb44690531k
Notice n° :
FRBNF44690531
(notice reprise d'un réservoir extérieur)
Table des matières : 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.
