The Neumann Problem for the Cauchy-Riemann Complex. (AM-75), Volume 75 / Joseph John Kohn, Gerald B. Folland.

Format:

Book

Author/Creator:

Folland, G. B., author.

Kohn, Joseph John, author.

Series:

Annals of mathematics studies ; Number 75.

Annals of Mathematics Studies ; 234

Language:

English

Subjects (All):

Neumann problem.

Differential operators.

Complex manifolds.

Physical Description:

1 online resource (157 pages).

Place of Publication:

Princeton, NJ : Princeton University Press, [2016]

Language Note:

English

Summary:

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.

Contents:

Frontmatter

FOREWORD

TABLE OF CONTENTS

CHAPTER I. FORMULATION OF THE PROBLEM

CHAPTER II. THE MAIN THEOREM

CHAPTER III. INTERPRETATION OF THE MAIN THEOREM

CHAPTER IV. APPLICATIONS

CHAPTER V. THE BOUNDARY COMPLEX

CHAPTER VI. OTHER METHODS AND RESULTS

APPENDIX: THE FUNCTIONAL ANALYSIS OF DIFFERENTIAL OPERATORS

REFERENCES

TERMINOLOGICAL INDEX

TERMINOLOGICAL INDEX

Notes:

Bibliographic Level Mode of Issuance: Monograph

Includes bibliographical references and index.

Description based on online resource; title from PDF title page (publisher's Web site, viewed 08. Jul 2019)

ISBN:

1-4008-8152-8

OCLC:

979970555