Optimal Control of the Ill-Posed Cauchy Elliptic Problem
We give a characterization of the control for ill-posed problems of oscillating solutions. More precisely, we study the control of Cauchy elliptic problems via a regularization approach which generates incomplete information. We obtain a singular optimality system characterizing the no-regret contro...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2015/468918 |
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| _version_ | 1849403377825349632 |
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| author | A. Berhail A. Omrane |
| author_facet | A. Berhail A. Omrane |
| author_sort | A. Berhail |
| collection | DOAJ |
| description | We give a characterization of the control for ill-posed problems of oscillating solutions. More precisely, we study the control of Cauchy elliptic problems via a regularization approach which generates incomplete information. We obtain a singular optimality system characterizing the no-regret control for the Cauchy problem. |
| format | Article |
| id | doaj-art-8e4ebd72f67b4eefbb81421b1a5e126e |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-8e4ebd72f67b4eefbb81421b1a5e126e2025-08-20T03:37:17ZengWileyInternational Journal of Differential Equations1687-96431687-96512015-01-01201510.1155/2015/468918468918Optimal Control of the Ill-Posed Cauchy Elliptic ProblemA. Berhail0A. Omrane1University of 08 May 1945, 24000 Guelma, AlgeriaUMR 228 Espce-Dev, Université de Guyane, UR, UM2, UNC, Campus de Troubiran, 97337 Cayenne, French GuianaWe give a characterization of the control for ill-posed problems of oscillating solutions. More precisely, we study the control of Cauchy elliptic problems via a regularization approach which generates incomplete information. We obtain a singular optimality system characterizing the no-regret control for the Cauchy problem.http://dx.doi.org/10.1155/2015/468918 |
| spellingShingle | A. Berhail A. Omrane Optimal Control of the Ill-Posed Cauchy Elliptic Problem International Journal of Differential Equations |
| title | Optimal Control of the Ill-Posed Cauchy Elliptic Problem |
| title_full | Optimal Control of the Ill-Posed Cauchy Elliptic Problem |
| title_fullStr | Optimal Control of the Ill-Posed Cauchy Elliptic Problem |
| title_full_unstemmed | Optimal Control of the Ill-Posed Cauchy Elliptic Problem |
| title_short | Optimal Control of the Ill-Posed Cauchy Elliptic Problem |
| title_sort | optimal control of the ill posed cauchy elliptic problem |
| url | http://dx.doi.org/10.1155/2015/468918 |
| work_keys_str_mv | AT aberhail optimalcontroloftheillposedcauchyellipticproblem AT aomrane optimalcontroloftheillposedcauchyellipticproblem |