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Start Over Author "Rehberg, J." Journal applied mathematics & optimization
3 results on '"Rehberg, J."'

3. Hölder Continuity and Optimal Control for Nonsmooth Elliptic Problems.

Author

Haller-Dintelmann, R., Meyer, C., Rehberg, J., and Schiela, A.

Subjects
ELLIPTIC differential equations, BOUNDARY value problems, NONSMOOTH optimization, DIRICHLET problem, NEUMANN problem, CONTINUITY
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. [ABSTRACT FROM AUTHOR]

Published
2009
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