Determining a magnetic Schroedinger operator from partial Cauchy data

被引：106

作者：

Dos Santos Ferreira, David ^{[1
]}

Kenig, Carlos E.

Sjostrand, Johannes

Uhlmann, Gunther

机构：

[1] Univ Paris 13, Inst Galilee, F-93430 Villetaneuse, France

[2] Univ Chicago, Dept Math, Chicago, IL 60637 USA

[3] Ecole Polytech, CMLS, F-91128 Palaiseau, France

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

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2007年 / 271卷 / 02期

关键词：

D O I：

10.1007/s00220-006-0151-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper we show, in dimension n >= 3, that knowledge of the Cauchy data for the Schrodinger equation in the presence of a magnetic potential, measured on possibly very small subsets of the boundary, determines uniquely the magnetic field and the electric potential. We follow the general strategy of [7] using a richer set of solutions to the Dirichlet problem that has been used in previous works on this problem.

引用

页码：467 / 488

页数：22

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