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| 热传导方程反系数问题解的稳定性 | |
| 引用本文： | 肖翠娥,成红艳. 热传导方程反系数问题解的稳定性[J]. 湖南城建高等专科学校学报, 2011, 0(4): 32-36 |
| 作者姓名： | 肖翠娥 成红艳 |
| 作者单位： | 湖南城市学院数学与计算科学学院,湖南益阳413000 |
| 基金项目： | 湖南省科技厅科研基金资助项目（2011FJ6029） |
| 摘 要： | 研究了一类热传导方程反系数问题,在已知一些观测数据前提下,利用最优控制方法,构造了一个新的泛函,并在一定的条件下,证明了极小化泛函问题解的稳定性. |
| 关 键 词： | 热传导方程 反系数问题 最优控制 稳定性 |
The Stability of Inverse Coefficient Problems for a Heat Conduction Equation |
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| XIAO Cui-e,CHENG Hong-yan. The Stability of Inverse Coefficient Problems for a Heat Conduction Equation[J]. Journal of Hunan Urban Construction College, 2011, 0(4): 32-36 | |
| Authors: | XIAO Cui-e CHENG Hong-yan |
| Affiliation: | (College of Mathematics and Computation Sciences,Hunan City University,Yiyang,Hunan 413000,China) |
| Abstract: | This paper studied inverse coefficient problem of the heat conduction equation where the final observation is given.By using the optimal control method,we constructed a new cost functional in the paper,and derived the stability of the minimizer of the cost functional under certain conditions. |
| Keywords: | heat conduction equation inverse coefficient problem optimal control stability |
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