On a quasi-reversibility regularization method for a Cauchy problem of the Helmholtz equation

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摘要

In this paper, we consider the Cauchy problem for the Helmholtz equation in a rectangle, where the Cauchy data is given for y=0 and boundary data are for x=0 and x=π. The solution is sought in the interval 0

论文关键词：Ill-posed,Cauchy problem of Helmholtz equation,Quasi-reversibility,Regularization

论文评审过程：Received 25 December 2008, Revised 9 June 2009, Available online 1 October 2009.

论文官网地址：https://doi.org/10.1016/j.cam.2009.09.031