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.
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页数：22
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