探讨了一个热方程柯西问题（逆热传导问题）．该问题是不适定的，即解（若存在）不连续依赖于所给定的柯西数据．本文给出了一种正则化方法处理该问题，在对精确解的两种不同先验假设下，给出了收敛性估计。%We consider a Cauchy problem of the heat equation. This problem is ill-posed, namely, the solution does not continuously depend on the given Cauchy data. In this paper,we give a new regularization method to treat it. Convergence estimates are given under two different a-priori bound assumptions for the exact solution.
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