ON STABILITY AND REGULARIZATION FOR BACKWARD HEAT EQUATION

被引：0
|
作者：
LIU JIJUN
LUO DINGJUN
机构：
[1] Department of Mathematics
[2] Nanjing Normal University
[3] Nanjing 210097
[4] China and Department of Mathematics
[5] Southeast University
[6] Nanjing 210096
[7] China.
来源：
Chinese Annals of Mathematics | 2003年 / 01期
基金：
中国博士后科学基金;
关键词：
Heat equation; Inverse problem; Stability; Regularization;
D O I：
暂无
中图分类号：
O175.26 [抛物型方程];
学科分类号：
摘要：
Consider a backward heat equation in a bounded domain Ω (?) R2 with the noisy data in the initial time geometry. The aim is to find the temperature for 0 < ε < t < T. For this ill-posed problem, the authors give a continuous dependence estimate of the solution. Moreover, the convergence rate of the approximate solution is also given.
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页码：35 / 44
页数：10
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