E-Book, Englisch, 156 Seiten
Folland / Kohn The Neumann Problem for the Cauchy-Riemann Complex
1. Auflage 2016
ISBN: 978-1-4008-8152-9
Verlag: De Gruyter
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)
E-Book, Englisch, 156 Seiten
Reihe: Annals of Mathematics Studies
ISBN: 978-1-4008-8152-9
Verlag: De Gruyter
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)
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.
Autoren/Hrsg.
Weitere Infos & Material
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
