18 citations · 30 across the 10 of their papers we have counts for
6 papers · 1 filter
Increasing stability of a linearized inverse boundary value problem for a nonlinear Schrödinger equation on transversally anisotropic manifolds
Shuai Lu, Jian Zhai
We consider the problem of recovering a nonlinear potential function in a nonlinear Schrödinger equation on transversally anisotropic manifolds from the linearized Dirichlet-to-Neu…
Increasing stability of the first order linearized inverse Schrödinger potential problem with integer power type nonlinearities
Sen Zou, Shuai Lu, Boxi Xu
We investigate the increasing stability of the inverse Schrödinger potential problem with integer power type nonlinearities at a large wavenumber. By considering the first order li…
Increasing stability in the linearized inverse Schrödinger potential problem with power type nonlinearities
Shuai Lu, Mikko Salo, Boxi Xu
We consider increasing stability in the inverse Schrödinger potential problem with power type nonlinearities at a large wavenumber. Two linearization approaches, with respect to sm…
Determination of source terms in diffusion and wave equations by observations after incidents: uniqueness and stability
Jin Cheng, Shuai Lu, Masahiro Yamamoto
We consider a diffusion and a wave equations: with the zero initial and boundary conditions, where…
An inverse conductivity problem in multifrequency electric impedance tomography
Jin Cheng, Mourad Choulli, Shuai Lu
We deal with the problem of determining the shape of an inclusion embedded in a homogenous background medium. The multifre-quency electrical impedance tomography is used to image t…
Linearized inverse Schrödinger potential problem at a large wavenumber
Victor Isakov, Shuai Lu, Boxi Xu
We investigate recovery of the (Schrödinger) potential function from many boundary measurements at a large wavenumber. By considering such a linearized form, we obtain a Hölder typ…