000K  utf8
1500  ger
2050  urn:nbn:de:hbz:464-duett-05102006-1252250
3000  
4000  About the regularity theory for elliptic systems and harmonic mappings
4000  Zur Regularitätstheorie elliptischer Systeme und harmonischer Abbildungen
4209  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.
4950  https://nbn-resolving.org/urn:nbn:de:hbz:464-duett-05102006-1252250$xR$3Volltext$534
4961  https://duepublico2.uni-due.de/receive/duepublico_mods_00005701
5010  51
5051  510
5550  a-priori estimates
5550  degenerate elliptic systems
5550  harmonic mappings
5550  Harnack inequality
5550  Muckenhoupt classes
5550  parabolic systems