ENGLISH

PSEUDODIFFERENTIAL OPERATORS

By Helmut Abels

Book information

Publisher
de Gruyter
Year
2011
ISBN
3110250306, 978-3-11-025030-5, 978-3-11-025031-2
Language
english
Format
PDF
Filesize
3 MB (3224640 bytes)
Series
de Gruyter Textbook
Pages
222\233
Time added
2014-02-12 18:00:00
Математика;Функциональный анализ;Теория операторов

Description

This textbook provides a self-contained and elementary introduction to the modern theory of pseudodifferential operators and their applications to partial differential equations. It presents the necessary material on Fourier transformation and distribution theory, the basic calculus of pseudodifferential operators on the n-dimensional Euclidean space, an introduction to the theory of singular integral operators, the modern theory of Besov and Bessel potential spaces, and several applications to wellposedness and regularity question for elliptic and parabolic equations. The basic notation of functional analysis needed in the book is introduced and summarized in the appendix

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