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 题名: A Fourier truncated regularization method for a Cauchy problem of a semi-linear elliptic equation 作者: Zhang, HW; Wei, T(魏婷) 收录类别: SCIE ; EI 出版日期: 2014-04 刊名: JOURNAL OF INVERSE AND ILL-POSED PROBLEMS 卷号: 22, 期号:2, 页码:143-168 出版者: WALTER DE GRUYTER GMBH 出版地: BERLIN 英文摘要: In this paper, a Cauchy problem for a semi-linear elliptic equation is considered. This problem is well known to be severely ill-posed and regularization methods are required. We use a Fourier truncated regularization method to deal with it, and a convergence estimate for the regularized solution is obtained under an a-priori bound assumption for the exact solution. Some numerical results are given to show the effectiveness of truncated method. 关键词: Ill-posed problem ; Cauchy problem ; semi-linear elliptic equation ; Fourier truncated regularization method ; convergence estimate 作者部门: [Zhang, Hongwu ; Wei, Ting] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China ; [Zhang, Hongwu] Hexi Univ, Sch Math & Stat, Zhangye City 734000, Gansu, Peoples R China 通讯作者: Zhang, HW (reprint author), Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China. 文章类型: Article 所属项目编号: NSF of China [10971089, 11171136] ; YTSRF of Hexi University [QN2011-10] 所属项目名称: 国家自然科学基金项目 项目资助者: NSFC 语种: 英语 DOI: 10.1515/jip-2011-0035 ISSN号: 0928-0219 WOS记录号: WOS:000337378100001 EI记录号: 20142617859391 第一机构: 是 Citation statistics: 内容类型: 期刊论文 URI标识: http://ir.lzu.edu.cn/handle/262010/118876 Appears in Collections: 数学与统计学院_期刊论文

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 Recommended Citation: Zhang, HW,Wei, T. A Fourier truncated regularization method for a Cauchy problem of a semi-linear elliptic equation[J]. JOURNAL OF INVERSE AND ILL-POSED PROBLEMS,2014,22(2):143-168.
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