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The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)
     

The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)

by Gerald B. Folland, Joseph John Kohn
 

ISBN-10: 0691081204

ISBN-13: 9780691081205

Pub. Date: 11/01/1972

Publisher: Princeton University Press

Part explanation of important recent work, and part introduction to some of the techniques of modern partial differential equations, this monograph is a self-contained exposition of the Neumann problem for the Cauchy-Riemann complex and certain of its applications. The authors prove the main existence and regularity theorems in detail, assuming only a knowledge of

Overview

Part explanation of important recent work, and part introduction to some of the techniques of modern partial differential equations, this monograph is a self-contained exposition of the Neumann problem for the Cauchy-Riemann complex and certain of its applications. The authors prove the main existence and regularity theorems in detail, assuming only a knowledge of the basic theory of differentiable manifolds and operators on Hilbert space. They discuss applications to the theory of several complex variables, examine the associated complex on the boundary, and outline other techniques relevant to these problems. In an appendix they develop the functional analysis of differential operators in terms of Sobolev spaces, to the extent it is required for the monograph.

Product Details

ISBN-13:
9780691081205
Publisher:
Princeton University Press
Publication date:
11/01/1972
Series:
Annals of Mathematics Studies Series , #75
Pages:
156
Product dimensions:
6.11(w) x 9.23(h) x 0.39(d)

Table of Contents

  • Frontmatter, pg. i
  • FOREWORD, pg. v
  • TABLE OF CONTENTS, pg. vii
  • CHAPTER I. FORMULATION OF THE PROBLEM, pg. 1
  • CHAPTER II. THE MAIN THEOREM, pg. 19
  • CHAPTER III. INTERPRETATION OF THE MAIN THEOREM, pg. 47
  • CHAPTER IV. APPLICATIONS, pg. 70
  • CHAPTER V. THE BOUNDARY COMPLEX, pg. 82
  • CHAPTER VI. OTHER METHODS AND RESULTS, pg. 105
  • APPENDIX: THE FUNCTIONAL ANALYSIS OF DIFFERENTIAL OPERATORS, pg. 114
  • REFERENCES, pg. 136
  • TERMINOLOGICAL INDEX, pg. 143
  • TERMINOLOGICAL INDEX, pg. 145

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