A FRACTIONAL PARABOLIC INVERSE PROBLEM INVOLVING A TIME-DEPENDENT MAGNETIC POTENTIAL

被引：8

作者：

Li, Li ^{[1
]}

机构：

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

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2021年 / 53卷 / 01期

基金：

美国国家科学基金会;

关键词：

fractional partial differential equations; inverse problems; Runge approximation property; CALDERON PROBLEM; APPROXIMATION; COEFFICIENTS; UNIQUENESS; OPERATOR;

D O I：

10.1137/20M1359638

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a class of fractional parabolic equations involving a time-dependent magnetic potential and formulate the corresponding inverse problem.We determine both the magnetic potential and the electric potential from the exterior partial measurements of the Dirichlet-to-Neumann map.

引用

页码：435 / 452

页数：18

共 26 条

[1]

Bhattacharyya S., T AM MATH SOC

[2] Determining coefficients in class of heat equations via boundary measurements [J].

Canuto, B ;

Kavian, O .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2001, 32 (05) :963-986

[3] The Calderon problem for the fractional Schrodinger equation with drift [J].

Cekic, Mihajlo ;

Lin, Yi-Hsuan ;

Rueland, Angkana .

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2020, 59 (03)

[4] Uniqueness in an inverse problem for a one-dimensional fractional diffusion equation [J].

Cheng, Jin ;

Nakagawa, Junichi ;

Yamamoto, Masahiro ;

Yamazaki, Tomohiro .

INVERSE PROBLEMS, 2009, 25 (11)

[5]

Choulli M., 2004, J. Inverse Ill-Posed Probl, V12, P233, DOI [10.1515/1569394042215856, DOI 10.1515/1569394042215856]

[6] An inverse problem for the fractional Schrodinger equation in a magnetic field [J].

Covi, Giovanni .

INVERSE PROBLEMS, 2020, 36 (04)

[7]

Dautary R., 2000, EVOLUTION PROBLEMS, V5

[8] Local Approximation of Arbitrary Functions by Solutions of Nonlocal Equations [J].

Dipierro, Serena ;

Savin, Ovidiu ;

Valdinoci, Enrico .

JOURNAL OF GEOMETRIC ANALYSIS, 2019, 29 (02) :1428-1455

[9] Determining a magnetic Schroedinger operator from partial Cauchy data [J].

Dos Santos Ferreira, David ;

Kenig, Carlos E. ;

Sjostrand, Johannes ;

Uhlmann, Gunther .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2007, 271 (02) :467-488

[10] Uniqueness and reconstruction for the fractional Calderon problem with a single measurement [J].

Ghosh, Tuhin ;

Rueland, Angkana ;

Salo, Mikko ;

Uhlmann, Gunther .

JOURNAL OF FUNCTIONAL ANALYSIS, 2020, 279 (01)

← 1 2 3 →