场位解析延拓的稳定化算法

本文讨论场位解析延拓的稳定化算法。首先叙述问题的古典提法,并且为以后作准备,将它化成另一类不适定问题。接着建立问题解的连续依赖性估计。然后根据这个估计式,将问题化成求解一个条件变分问题。最后利用正则化方法解这个变分问题,得到问题解的一个稳定化的计算公式。

THE STABILIZED ALGORITHM OF THE ANALYTIC CONTINUATION FOR THE POTENTIAL FIELD

In this paper, we discuss the stabilized algorithm of the analytie continuation for the potential field. Pristly, the problem of classical formulation is described, and it can be reduced to an another type of improperly posed problem with the purpose of preparation for further study. Secondly, the estimate of continuous dependence of its solution is established. Using this estimate, it may be simplified to solve a problem of the conditional variation. Finally, we solve the variational problem by the method of normalization, and then obtain the calculation formula of stabilization.