The Neumann Problem for the Cauchy-Riemann Complex
Seiten
1972
Princeton University Press (Verlag)
978-0-691-08120-5 (ISBN)
Princeton University Press (Verlag)
978-0-691-08120-5 (ISBN)
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This book is based on the notes from lectures given by the second author at Princeton University in the year 1970-71, which were subsequently expanded and revised by the first author.
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.
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.
*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
| Erscheint lt. Verlag | 21.11.1972 |
|---|---|
| Reihe/Serie | Annals of Mathematics Studies |
| Verlagsort | New Jersey |
| Sprache | englisch |
| Maße | 152 x 229 mm |
| Gewicht | 227 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| ISBN-10 | 0-691-08120-4 / 0691081204 |
| ISBN-13 | 978-0-691-08120-5 / 9780691081205 |
| Zustand | Neuware |
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