期刊论文

The Stability of Inverse Coefficient Problems for a Heat Conduction Equation

中文

湖南城市学院学报(自然科学版)

1672-7304

2011

20

4

32-36

10.3969/j.issn.1672-7304.2011.04.009

湖南省科技厅科研基金资助项目（2011FJ6029）；

本校为第一机构

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.

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 functi...