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Optimal Control Problems for a Class of Semilinear Multisolution Elliptic Equations |
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| Authors: | H Gao NH Pavel |
| Institution: | (1) Department of Mathematics, Northeast Normal University, Changchun, P. R. China;(2) Department of Mathematics, Ohio University, Athens, Ohio |
| Abstract: | We study the optimal control problem for a class of elliptic problems that may possess multiple solutions. We obtain necessary conditions for optimal control by constructing a related parabolic problem and using known results for the parabolic problem. |
| Keywords: | Elliptic equations parabolic equations optimal control closed range densely defined operators necessary conditions |
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