Optimization problems with gradient of control's in the coefficients of elliptic equations (Q828554)
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scientific article; zbMATH DE number 7291736
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Optimization problems with gradient of control's in the coefficients of elliptic equations |
scientific article; zbMATH DE number 7291736 |
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Optimization problems with gradient of control's in the coefficients of elliptic equations (English)
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9 January 2021
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It is well known, that optimal control problems for elliptic equations in which the coefficients depend not only on the control function but also on its gradient, create additional difficulties for proving the existence and optimality of the solution. In this paper, the existence and uniqueness of the solutions are proved; solvability of the problems under consideration and their relationship are discussed for the control problems on the boundary of a domain.
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optimal control
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elliptic equations
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existence and uniqueness of solution
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well-posedness
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control of boundary of domain
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