Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
Doi
Abstract
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
