Regularity Theory for Quasilinear Elliptic Systems and Monge-Ampere Equations in Two Dimensions
Friedmar Schulz
These lecture notes have been written as an introduction to the characteristic theory for two-dimensional Monge-Amp?re 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.
Категории:
Година:
1990
Издание:
1
Издателство:
Springer
Език:
english
Страници:
143
ISBN 10:
3540531033
ISBN 13:
9783540531036
Серия:
Lecture Notes in Mathematics
Файл:
DJVU, 667 KB
IPFS:
,
english, 1990
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