摘要
本文在有界区域上讨论地热能开采中的反问题关于OLS(output least squere)解的稳定性,即研究如何确定未知传热系数α(x)连续地依赖于由观测所得到的含水层的温度分布。
In this paper, we deal with the inverse problem of dcterming the unkown coeffi-cient a(x) for the problem (l). Now, we consider the cost functionI(a)=h(x,t)- u(x,t;a) (2 )where u(x,t;a) is the solution of the problem (1) for an instant function a, h(x,t) is measurment.Find a=a which minimizes (2).Then, this problem is called OLS (output least square) problem or the optimal control problem of the inverse problem.The corre-sponding solutin is called OLS solution or the optimal control solution of the inverse problem.By means of [3], [4], we investigate the stability of the OLS solution.
出处
《高校应用数学学报（A辑）》
CSCD
北大核心
1990年第2期278-284,共7页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
