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Regularity Theory for Quasilinear Elliptic Systems and Monge - Ampere Equations in Two Dimensions (Lecture Notes in Mathematics, 1445, Band 1445) - Softcover

Schulz, Friedmar

 
9783540531036: Regularity Theory for Quasilinear Elliptic Systems and Monge - Ampere Equations in Two Dimensions (Lecture Notes in Mathematics, 1445, Band 1445)
Softcover
ISBN 10: 3540531033 ISBN 13: 9783540531036
Verlag: Springer Berlin Heidelberg, 2008

Inhaltsangabe

These lecture notes have been written as an introduction to the characteristic theory for two-dimensional Monge-Ampère equations, a theory largely developed by H. Lewy and E. Heinz which has never been presented in book form. An exposition of the Heinz-Lewy theory requires auxiliary material which can be found in various monographs, but which is presented here, in part because the focus is different, and also because these notes have an introductory character. Self-contained introductions to the regularity theory of elliptic systems, the theory of pseudoanalytic functions and the theory of conformal mappings are included. These notes grew out of a seminar given at the University of Kentucky in the fall of 1988 and are intended for graduate students and researchers interested in this area.

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Über die Autorin bzw. den Autor

Prof. Dr. Friedmar Schulz war nach Studium, Promotion und Habilitation in Mathematik zunächst als Gastprofessor an verschiedenen Universitäten tätig, u.a. an der University of Minnesota, Minneapolis (USA); University of Iowa, Iowa City (USA); University of Kentucky, Lexington (USA); Australian National University, Canberra (Australien); University of Queensland, St. Lucia (Australien) und der Zhejiang University, Hangzhou (China). Seit 1994 ist er Professor für Mathematik mit Schwerpunkt Analysis und (Differential-)Geometrie an der Universität Ulm, wo er von 1995-1997 auch Dekan der Fakultät für Mathematik und Wirtschaftswissenschaften war. Seit 1998 ist er zudem außerordentlicher Professor der Changsha Railway University, Changsha, China. Professor Schulz ist Hauptherausgeber der im Oldenbourg Verlag erscheinenden Zeitschrift "Analysis. International mathematical journal of analysis and its applications".

Von der hinteren Coverseite

These lecture notes have been written as an introduction to the characteristic theory for two-dimensional Monge-Ampère equations, a theory largely developed by H. Lewy and E. Heinz which has never been presented in book form. An exposition of the Heinz-Lewy theory requires auxiliary material which can be found in various monographs, but which is presented here, in part because the focus is different, and also because these notes have an introductory character. Self-contained introductions to the regularity theory of elliptic systems, the theory of pseudoanalytic functions and the theory of conformal mappings are included. These notes grew out of a seminar given at the University of Kentucky in the fall of 1988 and are intended for graduate students and researchers interested in this area.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer Berlin Heidelberg
Erscheinungsdatum
2008
Sprache
Englisch
ISBN 10 
3540531033
ISBN 13 
9783540531036
Einband
Taschenbuch
Anzahl der Seiten
148
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