The optimal control problem for elliptic system on the class of unbounded Radon measures
<span lang="EN-US">The manuscript deals with the optimal control problem for linear elliptic equations with controls which we consider in the class of unbounded Radon measures. It is shown that the the original problem has a non-empty set of optimal pairs. The characteristic feature...
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| Format: | Article |
| Language: | English |
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DNU
2012-01-01
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| Series: | Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ |
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| Online Access: | http://model-dnu.dp.ua/index.php/SM/article/view/41 |
| Summary: | <span lang="EN-US">The manuscript deals with the optimal control problem for linear elliptic equations with controls which we consider in the class of unbounded Radon measures. It is shown that the the original problem has a non-empty set of optimal pairs. The characteristic feature of this problem is the fact that the corresponding Dirichlet problem is unsolved in the usual Sobolev spaces.</span> |
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| ISSN: | 2312-4547 2415-7325 |