A REMARK ON PARTIAL DATA INVERSE PROBLEMS FOR SEMILINEAR ELLIPTIC EQUATIONS

被引：64

作者：

Krupchyk, Katya ^{[1
]}

Uhlmann, Gunther ^{[2
,3
]}

机构：

[1] Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA

[2] Univ Washington, Dept Math, Seattle, WA 98195 USA

[3] Hong Kong Univ Sci & Technol, Inst Adv Study, Kowloon, Clear Water Bay, Hong Kong, Peoples R China

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2020年 / 148卷 / 02期

基金：

美国国家科学基金会;

关键词：

GLOBAL UNIQUENESS;

D O I：

10.1090/proc/14844

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the knowledge of the Dirichlet-to-Neumann map on an arbitrary open portion of the boundary of a domain in R-n, n >= 2, for a class of semilinear elliptic equations uniquely determines the nonlinearity.

引用

页码：681 / 685

页数：5

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