An extremal problem related to analytic continuation
We show that the usual variational formulation of the problem of analytic continuation from an arc on the boundary of a plane domain does not lead to a relaxation of this overdetermined problem. To attain such a relaxation, we bound the domain of the functional, thus changing the Euler equations.
| Main Authors: | , |
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| Format: | Others |
| Language: | English |
| Published: |
Universität Potsdam
2013
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| Subjects: | |
| Online Access: | http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-63634 http://opus.kobv.de/ubp/volltexte/2013/6363/ |