Discretization of Optimal Control Problems Governed by p-Laplacian Elliptic Equations
In this paper, a state-constrained optimal control problem governed by p-Laplacian elliptic equations is studied. The feasible control set or the cost functional may be nonconvex, and the purpose is to obtain the convergence of a solution of the discretized control problem to an optimal control of t...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2019/2852815 |
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| _version_ | 1832565594947321856 |
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| author | Shu Luan |
| author_facet | Shu Luan |
| author_sort | Shu Luan |
| collection | DOAJ |
| description | In this paper, a state-constrained optimal control problem governed by p-Laplacian elliptic equations is studied. The feasible control set or the cost functional may be nonconvex, and the purpose is to obtain the convergence of a solution of the discretized control problem to an optimal control of the relaxed continuous problem. |
| format | Article |
| id | doaj-art-8f194186031345f48324a3c7fba1d4a2 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-8f194186031345f48324a3c7fba1d4a22025-02-03T01:07:16ZengWileyJournal of Applied Mathematics1110-757X1687-00422019-01-01201910.1155/2019/28528152852815Discretization of Optimal Control Problems Governed by p-Laplacian Elliptic EquationsShu Luan0School of Mathematics and Statistics, Lingnan Normal University, Zhanjiang, Guangdong 524048, ChinaIn this paper, a state-constrained optimal control problem governed by p-Laplacian elliptic equations is studied. The feasible control set or the cost functional may be nonconvex, and the purpose is to obtain the convergence of a solution of the discretized control problem to an optimal control of the relaxed continuous problem.http://dx.doi.org/10.1155/2019/2852815 |
| spellingShingle | Shu Luan Discretization of Optimal Control Problems Governed by p-Laplacian Elliptic Equations Journal of Applied Mathematics |
| title | Discretization of Optimal Control Problems Governed by p-Laplacian Elliptic Equations |
| title_full | Discretization of Optimal Control Problems Governed by p-Laplacian Elliptic Equations |
| title_fullStr | Discretization of Optimal Control Problems Governed by p-Laplacian Elliptic Equations |
| title_full_unstemmed | Discretization of Optimal Control Problems Governed by p-Laplacian Elliptic Equations |
| title_short | Discretization of Optimal Control Problems Governed by p-Laplacian Elliptic Equations |
| title_sort | discretization of optimal control problems governed by p laplacian elliptic equations |
| url | http://dx.doi.org/10.1155/2019/2852815 |
| work_keys_str_mv | AT shuluan discretizationofoptimalcontrolproblemsgovernedbyplaplacianellipticequations |