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.
| Identifer | oai:union.ndltd.org:Potsdam/oai:kobv.de-opus-ubp:6363 |
| Date | January 2013 |
| Creators | Makhmudov, Olimdjan, Tarkhanov, Nikolai |
| Publisher | Universität Potsdam, Mathematisch-Naturwissenschaftliche Fakultät. Institut für Mathematik |
| Source Sets | Potsdam University |
| Language | English |
| Detected Language | English |
| Type | Preprint |
| Format | application/pdf |
| Rights | http://opus.kobv.de/ubp/doku/urheberrecht.php |
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