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Hölder continuity and optimal control for nonsmooth elliptic problems

Please always quote using this URN:urn:nbn:de:0296-matheon-5707
  • The well known De Giorgi result on Hölder continuity for solutions of the Dirichlet problem is re-established for mixed boundary value problems, provided that the underlying domain is a Lipschitz domain and the border between the Dirichlet and the Neumann boundary part satisfies a very general geometric condition. Implications of this result for optimal control theory are presented.

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Metadaten
Author:Christian Meyer, Joachim Rehberg, Anton Schiela
URN:urn:nbn:de:0296-matheon-5707
Referee:Alexander Mielke
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2009/02/03
Release Date:2009/02/24
Institute:Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS)
Preprint Number:564
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