Fourier regularization methods for the Cauchy problem of an elliptic equation with variable coefficients

摘要：

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 estimatesare order optimal. Some numerical results are reported.

关键词： Inverse problems Elliptic equation Fourier regularization Error estimate

作者: Ailin Qian Jianfeng Mao

作者单位: School of Mathematics and Statistics, Xianning University, Xianning, Hubei, 437100, China

会议类型: 国际会议

会议名称: 2012 International Conference on Intelligent System Design and Engineering Applications(2012年智能系统设计与工程应用国际会议 ISDEA 2012)

会议地点: 三亚

会议语种:英文

页码: 270-273

在线出版日期: 2012-01-06（万方平台首次上网日期，不代表论文的发表时间）