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✦   LIBER   ✦

Classical Microlocal Analysis in the Space of Hyperfunctions

✍ Scribed by Seiichiro Wakabayashi (eds.)

Book ID
127419525
Publisher
Springer
Year
2000
Tongue
English
Weight
2 MB
Edition
1
Category
Library
City
Berlin; New York
ISBN
3540451617
ISSN
0075-8434

No coin nor oath required. For personal study only.

✦ 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.

✦ Subjects

Partial Differential Equations

πŸ“œ SIMILAR VOLUMES

Stability of functional equations in the
Stability of functional equations in the spaces of distributions and hyperfunctions
✍ Jaeyoung Chung πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 187 KB

Making use of the fundamental solution of the heat equation we prove the stability theorems of quadratic functional equation and d'Alembert equation in the spaces of Schwartz distributions and Sato hyperfunctions.