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修正的Helmhotz方程柯西问题是一类典型的不适定问题,给数值处理带来了极大的困难.本文给出了边界加扰动的方法,恢复了解对数据的连续依赖性,并给出了误差估计.通过提高先验界的光滑性可以得到x=1时的收敛性.
Corrected Helmhotz equation Cauchy problem is a kind of typical ill-posed problem, which brings great difficulties to numerical processing.In this paper, we give a method of boundary perturbation, recover the continuous dependence on data, Error Estimation. The convergence of x = 1 can be obtained by increasing the smoothness of the priori bounds.