Uniqueness in an Inverse Boundary Problem for a Magnetic Schrodinger Operator with a Bounded Magnetic Potential

被引：52

作者：

Krupchyk, Katsiaryna ^{[1
]}

Uhlmann, Gunther ^{[2
]}

机构：

[1] Univ Helsinki, Dept Math & Stat, FIN-00014 Helsinki, Finland

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

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2014年 / 327卷 / 03期

基金：

芬兰科学院; 美国国家科学基金会;

关键词：

GLOBAL UNIQUENESS; CONDUCTIVITY PROBLEM; CALDERON PROBLEM; EQUATION;

D O I：

10.1007/s00220-014-1942-z

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We show that the knowledge of the set of the Cauchy data on the boundary of a bounded open set in , , for the magnetic Schrodinger operator with L (a) magnetic and electric potentials, determines the magnetic field and electric potential inside the set uniquely. The proof is based on a Carleman estimate for the magnetic Schrodinger operator with a gain of two derivatives.

引用

页码：993 / 1009

页数：17

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