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.

引用

页码：35 / 44

页数：10

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