Partial data inverse problems for semilinear elliptic equations with gradient nonlinearities

被引：0
|
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：
MATHEMATICAL RESEARCH LETTERS | 2020年 / 27卷 / 06期
基金：
美国国家科学基金会;
关键词：
GLOBAL UNIQUENESS; CALDERON PROBLEM;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that the linear span of the set of scalar products of gradients of harmonic functions on a bounded smooth domain Omega subset of R-n which vanish on a closed proper subset of the boundary is dense in L-1(Omega). We apply this density result to solve some partial data inverse boundary problems for a class of semilinear elliptic PDE with quadratic gradient terms.
引用
收藏
页码：1801 / 1824
页数：24
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