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兰州大学机构库  > 数学与统计学院  > 期刊论文
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
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
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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