E-Book, Englisch, Band 1737, 370 Seiten, eBook
Reihe: Lecture Notes in Mathematics
Wakabayashi Classical Microlocal Analysis in the Space of Hyperfunctions
Erscheinungsjahr 2007
ISBN: 978-3-540-45161-7
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, Band 1737, 370 Seiten, eBook
Reihe: Lecture Notes in Mathematics
ISBN: 978-3-540-45161-7
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Weitere Infos & Material
Hyperfunctions.- Basic calculus of fourier integral operators and pseudodifferential operators.- Analytic wave front sets and microfunctions.- Microlocal uniqueness.- Local solvability.
