使用磨光化方法研究了固定频率下一类高维Helmholtz方程的柯西问题,该问题是一类解不连续依赖于测量数据的严重不适定的反问题,得到并解决了正则化近似解与精确解之间的收敛性误差估计.%A Cauchy problem for the Helmholtz equation is discussed in multi-dimensional case at fixed frequency.This problem is an inverse problem and is severely ill-posed,its solution does not depend continuously on the measuring data.The error estimation between the exact solution and regularized approximate solution of this problem is obtained by use of the mollification method.
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