@unpublished{MakhmudovTarkhanov2013, author = {Makhmudov, Olimdjan and Tarkhanov, Nikolai Nikolaevich}, title = {An extremal problem related to analytic continuation}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-63634}, year = {2013}, abstract = {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.}, language = {en} }