Increasing stability of a linearized inverse boundary value problem for a nonlinear Schrödinger equation on transversally anisotropic manifolds

被引：1

作者：

Lu, Shuai ^{[1
,2
]}

Zhai, Jian ^{[1
]}

机构：

[1] Fudan Univ, Sch Math Sci, SKLCAM, Shanghai 200433, Peoples R China

[2] Fudan Univ, LMNS, Shanghai 200433, Peoples R China

来源：

INVERSE PROBLEMS | 2024年 / 40卷 / 04期

关键词：

increasing stability; inverse boundary value problem; nonlinear Schrodinger equations; ELLIPTIC-EQUATIONS; GLOBAL UNIQUENESS; CALDERON PROBLEM; ATTENUATION;

D O I：

10.1088/1361-6420/ad2533

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the problem of recovering a nonlinear potential function in a nonlinear Schrodinger equation on transversally anisotropic manifolds from the linearized Dirichlet-to-Neumann map at a large wavenumber. By calibrating the complex geometric optics solutions according to the wavenumber, we prove the increasing stability of recovering the coefficient of a cubic term as the wavenumber becomes large.

引用

页数：22

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