Stability Estimates for an Inverse Problem for the Magnetic Schrodinger Operator

被引：11

作者：

Caro, Pedro ^{[1
]}

Pohjola, Valter ^{[1
]}

机构：

[1] Univ Helsinki, Dept Math & Stat, Helsinki, Finland

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2015年 / 2015卷 / 21期

基金：

芬兰科学院;

关键词：

CONDUCTIVITY PROBLEM; GLOBAL UNIQUENESS; EQUATION;

D O I：

10.1093/imrn/rnv020

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove stable determination of an inverse boundary value problem associated to a magnetic Schrodinger operator assuming that the magnetic and electric potentials are essentially bounded and the magnetic potentials admit a Holder-type modulus of continuity in the sense of L-2.

引用

页码：11083 / 11116

页数：34

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[Anonymous], 1998, PARTIAL DIFFERENTIAL

[2]

[Anonymous], 2002, Revista Matematica Complutense

[3]

[Anonymous], 1988, Appl. Anal., DOI [DOI 10.1080/00036818808839730, DOI 10.1080/00036818808839730,ARXIV:HTTPS://DOI.ORG/10.1080/00036818808839730]

[4] Calderon's inverse conductivity problem in the plane [J].