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Dal'nevost. Mat. Zh., 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

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.

Full text: PDF file (196 kB)
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Document Type: Article
UDC: 517.95
MSC: 76W05
Received: 22.01.2008

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 articles:
    1. A. A. Illarionov, L. V. Illarionova, “Analiticheskie resheniya ekstremalnykh zadach dlya uravneniya Laplasa”, Dalnevost. matem. zhurn., 14:2 (2014), 231–241  mathnet
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