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Dal'nevostochnyi Matematicheskii Zhurnal, 2008, Volume 8, Number 2, Pages 164–170 (Mi dvmg45)  
This article is cited in 1 scientific paper (total in 1 paper)

The solvability of extremal problems for Poisson equation and Stokes system

A. A. Illarionov

Institute for Applied Mathematics, Khabarovsk Division, Far-Eastern Branch of the Russian Academy of Sciences
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Abstract: One consider the extremal problems for Poisson equation and Stokes system which are to minimize the $L^2$-difference solution from given function. The sufficient conditions of solvability in the Sobolev space $H^1$ are obtained. It is showed that these conditions are necessary in some cases.
Key words: extremal problems, optimal control for partial differential equations.
Received: 22.01.2008
Document Type: Article
UDC: 517.95
MSC: 76W05
Language: Russian
Citation: A. A. Illarionov, “The solvability of extremal problems for Poisson equation and Stokes system”, Dal'nevost. Mat. Zh., 8:2 (2008), 164–170
Citation in format AMSBIB
\Bibitem{Ill08}
\by A.~A.~Illarionov
\paper The solvability of extremal problems for Poisson equation and Stokes system
\jour Dal'nevost. Mat. Zh.
\yr 2008
\vol 8
\issue 2
\pages 164--170
\mathnet{http://mi.mathnet.ru/dvmg45}
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    • This publication is cited in the following 1 articles:
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