Pseudodifferential and Singular Integral Operators : : An Introduction with Applications /

Pseudodifferential and Singular Integral Operators : : An Introduction with Applications / / Helmut Abels.

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. Subsequentl...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1
VerfasserIn:
Abels, Helmut,
MitwirkendeR:
Abels, Helmut,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2011]
©2012
Year of Publication:2011
Language:English
Series:De Gruyter Textbook
Online Access:
Physical Description:1 online resource (222 p.)
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Table of Contents:
  • Frontmatter
  • Preface
  • Contents
  • Chapter. 1 Introduction
  • Part I. Fourier Transformation and Pseudodifferential Operators
  • Chapter 2. Fourier Transformation and Tempered Distributions
  • Chapter 3. Basic Calculus of Pseudodifferential Operators on ℝn
  • Part II. Singular Integral Operators
  • Chapter 4. Translation Invariant Singular Integral Operators
  • Chapter 5. Non-Translation Invariant Singular Integral Operators
  • Part III. Applications to Function Space and Differential Equations
  • Chapter 6. Introduction to Besov and Bessel Potential Spaces
  • Chapter 7. Applications to Elliptic and Parabolic Equations
  • Part IV. Appendix
  • Appendix A Basic Results from Analysis
  • Bibliography
  • Index

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