STABILITY FOR A MAGNETIC SCHRODINGER OPERATOR ON A RIEMANN SURFACE WITH BOUNDARY

被引：0

作者：

Andersson, Joel ^{[1
]}

Tzou, Leo ^{[1
]}

机构：

[1] Univ Sydney, Sch Math & Stat, Sydney, NSW 2006, Australia

来源：

INVERSE PROBLEMS AND IMAGING | 2018年 / 12卷 / 01期

关键词：

Calderon inverse problems; Cauchy data space; magnetic Schrodinger operator; Riemann surfaces; connection Laplacian; 2; DIMENSIONS; CAUCHY DATA;

D O I：

10.3934/ipi.2018001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a magnetic Schrodinger operator (del(X))*del(X) + q on a compact Riemann surface with boundary and prove a log log-type stability estimate in terms of Cauchy data for the electric potential and magnetic field under the assumption that they satisfy appropriate a priori bounds. We also give a similar stability result for the holonomy of the connection 1-form X.

引用

页码：1 / 28

页数：28

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