Fourth-order modified method for the Cauchy problem for the Laplace equation

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摘要

We consider the Cauchy problem for the Laplace equation in the half plane x>0,y∈R where the Cauchy data is given at x=0 and the solution is sought in the interval 0

论文关键词:Ill-posed problem,Regularization,Cauchy problem for Laplace equation

论文评审过程:Received 21 January 2005, Revised 24 April 2005, Available online 8 June 2005.

论文官网地址:https://doi.org/10.1016/j.cam.2005.04.031