文章基本信息

标题：Logarithm of a Function, a Well-Posed Inverse Problem
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作者：Silvia Reyes Mora ; Víctor A. Cruz Barriguete ; Denisse Guzmán Aguilar 等
期刊名称：American Journal of Computational Mathematics
印刷版ISSN：2161-1203
电子版ISSN：2161-1211
出版年度：2014
卷号：4
期号：1
页码：1-5
DOI：10.4236/ajcm.2014.41001
出版社：Scientific Research Publishing
摘要：It poses the inverse problem that consists in finding the logarithm of a function. It shows that when the function is holomorphic in a simply connected domain , the solution at the inverse problem exists and is unique if a branch of the logarithm is fixed. In addition, it’s demonstrated that when the function is continuous in a domain , where is Hausdorff space and connected by paths. The solution of the problem exists and is unique if a branch of the logarithm is fixed and is stable; for what in this case, the inverse problem turns out to be well-posed.
关键词：Logarithm Function; Inverse Problem; Stability