Regularity Theory for Quasilinear Elliptic Systems and Monge - Ampere Equations in Two Dimensions - Schulz, Friedmar
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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…mehr

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Produktbeschreibung
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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Autorenporträt
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".