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Fourier Regularization Methods for the Cauchy Problem of an Elliptic Equation with Variable Coefficients

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2 Author(s)
Ailin Qian ; Sch. of Math. & Stat., Xianning Univ., Xianning, China ; Jianfeng Mao

In this paper, we consider a Cauchy problem for an elliptic equation with variable coefficients. Within the framework of general regularization theory, we present Fourier regularization method to stabilize the problem. Moreover, Holder-type stability error estimate is proved for this regularization method. According to the regularization theory, the error estimates are order optimal. Some numerical results are reported.

Published in:

Intelligent System Design and Engineering Application (ISDEA), 2012 Second International Conference on

Date of Conference:

6-7 Jan. 2012