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

共 50 条

[31] Global uniqueness in the inverse scattering problem for the Schrodinger operator with external Yang-Mills potentials
Eskin, G
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2001, 222 (03) : 503 - 531
[32] A UNIQUENESS THEOREM FOR A BOUNDARY INVERSE PROBLEM
RAMM, AG
INVERSE PROBLEMS, 1988, 4 (01) : L1 - L5
[33] A UNIQUENESS THEOREM ON THE INVERSE PROBLEM FOR THE DIRAC OPERATOR
Wang, Yu Ping
Sat, Murat
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2016,
[34] An Inverse Problem for the Magnetic Schrodinger Equation in Infinite Cylindrical Domains
Bellassoued, Mourad
Kian, Yavar
Soccorsi, Eric
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 2018, 54 (04) : 679 - 728
[35] An inverse spectral problem for a fractional Schrodinger operator
Choulli, Mourad
ARCHIV DER MATHEMATIK, 2023, 120 (04) : 395 - 402
[36] Inverse problem for the Schrodinger operator in an unbounded strip
Cardoulis, L.
Cristofol, M.
Gaitan, P.
JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2008, 16 (02): : 127 - 146
[37] SPECTRAL ASYMPTOTICS FOR MAGNETIC SCHRODINGER OPERATOR WITH SLOWLY VARYING POTENTIAL
Dimassi, Mouez
Yazbek, Hawraa
Watanabe, Takuya
OSAKA JOURNAL OF MATHEMATICS, 2023, 60 (03) : 709 - 731
[38] SCHRODINGER OPERATOR SPECTRUM WITH POLYNOMIAL POTENTIAL AND MAGNETIC-FIELD
LEVYBRUHL, P
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 1991, 27 (03) : 367 - 374
[39] Inverse problem for the Schrodinger operator in an unbounded strip
Cardoulis, Laure
Cristofol, Michel
Gaitan, Patricia
COMPTES RENDUS MATHEMATIQUE, 2008, 346 (11-12) : 635 - 640
[40] Dynamical inverse problem for the discrete Schrodinger operator
Mikhaylov, A. S.
Mikhaylov, V. S.
NANOSYSTEMS-PHYSICS CHEMISTRY MATHEMATICS, 2016, 7 (05): : 842 - 853

← 1 2 3 4 5 →