西北师范大学学报（自然科学版）2017，Vol.53Issue(5)：19-23,5.DOI:10.16783/j.cnki.nwnuz.2017.05.004
高维Helmholtz方程柯西问题的磨光化方法
A mollification method for the Cauchy problem for theHelmholtz equation in multi-dimensional case
摘要
Abstract
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.关键词
不适定问题/正则化/Helmholtz方程柯西问题/磨光化方法Key words
ill-posed problem/regularization/Cauchy problem for the Helmholtz equation/mollification method分类
数理科学引用本文复制引用
李振平,张永胜,高志锋..高维Helmholtz方程柯西问题的磨光化方法[J].西北师范大学学报（自然科学版）,2017,53(5):19-23,5.基金项目
国家自然科学基金资助项目(60876014,U1504102) （60876014,U1504102）
