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.
基金
Project supported by China Postdoctoral Science Foundation (No.2002031224)
the Science Foundation of Southeast University (No. 9207011148).
