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Media type:
Text;
Doctoral Thesis;
Electronic Thesis;
E-Book
Title:
Zur Regularitätstheorie elliptischer Systeme und harmonischer Abbildungen ; About the regularity theory for elliptic systems and harmonic mappings
Contributor:
Pingen, Michael
[Author]
Published:
University of Duisburg-Essen: DuEPublico2 (Duisburg Essen Publications online), 2006-05-02
Footnote:
Diese Datenquelle enthält auch Bestandsnachweise, die nicht zu einem Volltext führen.
Description:
This thesis deals with regualrity questions of elliptic and parabolic systems of partial differential equations of second order. With the help of a Harnack inequality it is shown that bounded weak solutions of certain parabolic systems are Hölder continous. In the second chapter we prove regularity theorems for weak harmonic mappings in the interior and at the boundary, an important tool for these theorems are again two Harnack inequalities. The last two chapters deal with degenerate elliptic systems, for certain degenerate elliptic coefficients (e.g. in the Muckenhouptclass A2) we prove two Harnack inequalities and show with these inequalities some regularity theorems for degenerate elliptic systems.