TY  - INPR
A1  - Makhmudov, Olimdjan
A1  - Tarkhanov, Nikolai Nikolaevich
T1  - An extremal problem related to analytic continuation
N2  - 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.
T3  - Preprints des Instituts für Mathematik der Universität Potsdam - 2 (2013) 4 
KW  - Extremal problem
KW  - Euler equations
KW  - p-Laplace operator
KW  - mixed problems
Y1  - 2013
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/6170
UR  - https://nbn-resolving.org/urn:nbn:de:kobv:517-opus-63634
ER  -