Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2014 7 (1)
- Authors
- Makhmudov, Olimjan; Tarkhanov, Nikolai
- Contact information
- Makhmudov, Olimjan:Department of Mechanics and Mathematics, University of Samarkand, University Boulevard, 15, 703004, Samarkand, Uzbekistan; ; Tarkhanov, Nikolai:Institute of Mathematics, University of Potsdam, Am Neuen Palais, 10, Potsdam, 14469 Germany;
- Keywords
- extremal problems; Euler equations; p-Laplace operator; mixed problems
- 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
- Pages
- 79–90
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/10139
Journal of Siberian Federal University. Mathematics & Physics / An Extremal Problem Related to Analytic Continuation
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