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.

Bibliographic Details
Main Authors:	Makhmudov, Olimdjan, Tarkhanov, Nikolai
Format:	Others
Language:	English
Published:	Universität Potsdam 2013
Subjects:	Extremal problem Euler equations p-Laplace operator mixed problems Mathematics
Online Access:	http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-63634 http://opus.kobv.de/ubp/volltexte/2013/6363/

id	ndltd-Potsdam-oai-kobv.de-opus-ubp-6363
record_format	oai_dc
spelling	ndltd-Potsdam-oai-kobv.de-opus-ubp-63632013-06-11T03:31:32Z An extremal problem related to analytic continuation Makhmudov, Olimdjan Tarkhanov, Nikolai Extremal problem Euler equations p-Laplace operator mixed problems Mathematics 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. Universität Potsdam Mathematisch-Naturwissenschaftliche Fakultät. Institut für Mathematik 2013 Preprint application/pdf urn:nbn:de:kobv:517-opus-63634 http://opus.kobv.de/ubp/volltexte/2013/6363/ eng http://opus.kobv.de/ubp/doku/urheberrecht.php
collection	NDLTD
language	English
format	Others
sources	NDLTD
topic	Extremal problem Euler equations p-Laplace operator mixed problems Mathematics
spellingShingle	Extremal problem Euler equations p-Laplace operator mixed problems Mathematics Makhmudov, Olimdjan Tarkhanov, Nikolai An extremal problem related to analytic continuation
description	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.
author	Makhmudov, Olimdjan Tarkhanov, Nikolai
author_facet	Makhmudov, Olimdjan Tarkhanov, Nikolai
author_sort	Makhmudov, Olimdjan
title	An extremal problem related to analytic continuation
title_short	An extremal problem related to analytic continuation
title_full	An extremal problem related to analytic continuation
title_fullStr	An extremal problem related to analytic continuation
title_full_unstemmed	An extremal problem related to analytic continuation
title_sort	extremal problem related to analytic continuation
publisher	Universität Potsdam
publishDate	2013
url	http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-63634 http://opus.kobv.de/ubp/volltexte/2013/6363/
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An extremal problem related to analytic continuation

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