Far Eastern Mathematical Journal

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The solvability of extremal problems for Poisson equation and Stokes system


A. A. Illarionov

2008, issue 2, Ń. 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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