FAR EASTERN BRANCH OF THE RUSSIAN ACADEMY OF SCIENCES
INSTITUTE OF APPLIED MATHEMATICS KHABAROVSK DIVISION
Far Eastern Mathematical Journal
The solvability of extremal problems for Poisson equation and Stokes system |
A. A. Illarionov |
2008, issue 2, P. 164–170 |
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. |
Keywords: extremal problems, optimal control for partial differential equations |
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References |
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