Inverse problem for the Schrodinger equation with non-self-adjoint matrix potential

被引：2

作者：

Avdonin, S. A. ^{[1
,2
]}

Mikhaylov, A. S. ^{[3
,4
]}

Mikhaylov, V. S. ^{[3
]}

Park, J. C. ^{[1
]}

机构：

[1] Univ Alaska Fairbanks, Dept Math & Stat, Fairbanks, AK 99775 USA

[2] Moscow Ctr Fundamental & Appl Math, Moscow 119333, Russia

[3] Russian Acad Sci, VA Steklov Math Inst, St Petersburg Dept, 27 Fontanka, St Petersburg 191023, Russia

[4] St Petersburg State Univ, 7-9 Univ Skaya Nab, St Petersburg 199034, Russia

来源：

INVERSE PROBLEMS | 2021年 / 37卷 / 03期

关键词：

inverse problem; Schrö dinger equation; matrix potential; controllability; boundary control method;

D O I：

10.1088/1361-6420/abd7cb

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the dynamical system with boundary control for the vector Schrodinger equation on the interval with a non-self-adjoint matrix potential. For this system, we study the inverse problem of recovering the matrix potential from the dynamical Neumann-to-Dirichlet operator. We first provide a method to recover spectral data for the Schrodinger system and consequently prove controllability of the system. We then develop a strategy for solving the inverse problem using this method with other techniques of the boundary control method.

引用

页数：19

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