数学年刊B辑
數學年刊B輯
수학년간B집
CHINESE ANNALS OF MATHEMATICS
2003年
1期
35-44
,共10页
Heat equation%Inverse problem%Stability%Regularization
Consider a backward heat equation in a bounded domain Ω R2 with the noisy data in theinitial time geometry. The aim is to find the temperature for 0 ＜ε＜ t ＜ T. For this ill-posedproblem, the authors give a continuous dependence estimate of the solution. Moreover, theconvergence rate of the approximate solution is also given.
