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| Optimal Control of Non-well-posed Heat Equations | |
| 引用本文： | Geng Sheng WANG. Optimal Control of Non-well-posed Heat Equations[J]. 数学学报(英文版), 2005, 21(5): 1005-1014. DOI: 10.1007/s10114-004-0410-7 |
| 作者姓名： | Geng Sheng WANG |
| 作者单位： | Department of Mathematics, Huazhong Normal University, Wuhan 430079, P. R. China |
| 基金项目： | This work is supported by National Natural Science Foundation of China, Grants 10071028 and 60174043, and by the Key Program Foundation of the Ministry of Education |
| 摘 要： | This work is concerned with Pontryagin＇s maximum principle of optimal control problems governed by some non-well-posed semilinear heat equations. A type of approach to the non-well-posed optimal control problem is given. |
| 关 键 词： | 优化控制 热方程 状态约束 抛物线微分方程 |
| 收稿时间： | 2001-10-02 |
| 修稿时间： | 2001-10-022002-02-26 |
Optimal Control of Non–well–posed Heat Equations |
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| Geng Sheng Wang. Optimal Control of Non–well–posed Heat Equations[J]. Acta Mathematica Sinica(English Series), 2005, 21(5): 1005-1014. DOI: 10.1007/s10114-004-0410-7 | |
| Authors: | Geng Sheng Wang |
| Affiliation: | (1) Department of Mathematics, Huazhong Normal University, Wuhan 430079, P. R. China |
| Abstract: | This work is concerned with Pontryagin's maximum principle of optimal control problems governed by some non–well–posed semilinear heat equations. A type of approach to the non–well–posed optimal control problem is given. This work is supported by National Natural Science Foundation of China, Grants 10071028 and 60174043, and by the Key Program Foundation of the Ministry of Education |
| Keywords: | Optimal control Non-well-posed heat equation State constraint |
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