Pseudodifferential and Singular Integral Operators

Pseudodifferential and Singular Integral Operators
Author :
Publisher : Walter de Gruyter
Total Pages : 233
Release :
ISBN-10 : 9783110250312
ISBN-13 : 3110250314
Rating : 4/5 (12 Downloads)

Book Synopsis Pseudodifferential and Singular Integral Operators by : Helmut Abels

Download or read book Pseudodifferential and Singular Integral Operators written by Helmut Abels and published by Walter de Gruyter. This book was released on 2011-12-23 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a self-contained and elementary introduction to the modern theory of pseudodifferential operators and their applications to partial differential equations. In the first chapters, the necessary material on Fourier transformation and distribution theory is presented. Subsequently the basic calculus of pseudodifferential operators on the n-dimensional Euclidean space is developed. In order to present the deep results on regularity questions for partial differential equations, an introduction to the theory of singular integral operators is given - which is of interest for its own. Moreover, to get a wide range of applications, one chapter is devoted to the modern theory of Besov and Bessel potential spaces. In order to demonstrate some fundamental approaches and the power of the theory, several applications to wellposedness and regularity question for elliptic and parabolic equations are presented throughout the book. The basic notation of functional analysis needed in the book is introduced and summarized in the appendix. The text is comprehensible for students of mathematics and physics with a basic education in analysis.


Pseudodifferential and Singular Integral Operators Related Books

Pseudodifferential and Singular Integral Operators
Language: en
Pages: 233
Authors: Helmut Abels
Categories: Mathematics
Type: BOOK - Published: 2011-12-23 - Publisher: Walter de Gruyter

DOWNLOAD EBOOK

This textbook provides a self-contained and elementary introduction to the modern theory of pseudodifferential operators and their applications to partial diffe
Pseudo-Differential Operators and Symmetries
Language: en
Pages: 712
Authors: Michael Ruzhansky
Categories: Mathematics
Type: BOOK - Published: 2009-12-29 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

This monograph is devoted to the development of the theory of pseudo-di?erential n operators on spaces with symmetries. Such spaces are the Euclidean space R ,t
Elementary Introduction to the Theory of Pseudodifferential Operators
Language: en
Pages: 120
Authors: Xavier Saint Raymond
Categories: Mathematics
Type: BOOK - Published: 2018-02-06 - Publisher: Routledge

DOWNLOAD EBOOK

In the 19th century, the Fourier transformation was introduced to study various problems of partial differential equations. Since 1960, this old tool has been d
Pseudodifferential Operators and Spectral Theory
Language: en
Pages: 296
Authors: M.A. Shubin
Categories: Mathematics
Type: BOOK - Published: 2011-06-28 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

I had mixed feelings when I thought how I should prepare the book for the second edition. It was clear to me that I had to correct all mistakes and misprints th
Introduction To Pseudo-differential Operators, An (3rd Edition)
Language: en
Pages: 195
Authors: Man-wah Wong
Categories: Mathematics
Type: BOOK - Published: 2014-03-11 - Publisher: World Scientific Publishing Company

DOWNLOAD EBOOK

The aim of this third edition is to give an accessible and essentially self-contained account of pseudo-differential operators based on the previous edition. Ne