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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.

Identiferoai:union.ndltd.org:Potsdam/oai:kobv.de-opus-ubp:6363
Date January 2013
CreatorsMakhmudov, Olimdjan, Tarkhanov, Nikolai
PublisherUniversität Potsdam, Mathematisch-Naturwissenschaftliche Fakultät. Institut für Mathematik
Source SetsPotsdam University
LanguageEnglish
Detected LanguageEnglish
TypePreprint
Formatapplication/pdf
Rightshttp://opus.kobv.de/ubp/doku/urheberrecht.php

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