Classical Microlocal Analysis in the Space of Hyperfunctions

1. Auflage 2000
ISBN: 978-3-540-67603-4
Verlag: Springer

Buch, Englisch, Band 1737, 370 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 1170 g

Reihe: Lecture Notes in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Wakabayashi, Seiichiro

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Integralrechnungen- und -gleichungen
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Inhaltsverzeichnis

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