Increasing stability of a linearized inverse boundary value problem for a nonlinear Schr\'odinger equation on transversally anisotropic manifolds

Autor:	Lu, Shuai, Zhai, Jian
Rok vydání:	2023
Předmět:	Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	We consider the problem of recovering a nonlinear potential function in a nonlinear Schr\"odinger equation on transversally anisotropic manifolds from the linearized Dirichlet-to-Neumann map at a large wavenumber. By calibrating the complex geometric optics (CGO) solutions according to the wavenumber, we prove the increasing stability of recovering the coefficient of a cubic term as the wavenumber becomes large.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2301.07875 Zobrazit plný text záznamu View this record from Arxiv