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An extremal problem related to analytic continuationMakhmudov, Olimdjan, Tarkhanov, Nikolai January 2013 (has links)
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.
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