A REMARK ON INVERSE PROBLEMS FOR NONLINEAR MAGNETIC SCHRÖDINGER EQUATIONS ON COMPLEX MANIFOLDS

被引：3

作者：

Krupchyk, Katya ^{[1
]}

Uhlmann, Gunther ^{[2
,3
]}

Yan, Lili ^{[1
,4
]}

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, Hong Kong, Peoples R China

[4] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2024年 / 152卷 / 06期

基金：

美国国家科学基金会;

关键词：

CALDERON PROBLEM; ELLIPTIC-EQUATIONS; UNIQUENESS;

D O I：

10.1090/proc/16060

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 for a nonlinear magnetic Schr & ouml;dinger operator on the boundary of a compact complex manifold, equipped with a K & auml;hler metric and admitting sufficiently many global holomorphic functions, determines the nonlinear magnetic and electric potentials uniquely.

引用

页码：2413 / 2422

页数：10

共 47 条

[1] ON THE SET OF METRICS WITHOUT LOCAL LIMITING CARLEMAN WEIGHTS [J].