1 citations · 2 across the 5 of their papers we have counts for
5 papers
Determination of the density in a nonlinear elastic wave equation
Gunther Uhlmann, Jian Zhai
This is a continuation of our study [Uhlmann-Zhai, JMPA, 2021] on an inverse boundary value problem for a nonlinear elastic wave equation. We prove that all the linear and nonlinea…
Increasing stability estimates for the inverse potential scattering problems
Jian Zhai, Yue Zhao
This paper is mainly concerned with the inverse scattering problem of determining the unknown potential for the classical Schrödinger equation in two and three dimensions. We estab…
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…
Single pixel X-ray transform and related inverse problems
Ru-Yu Lai, Gunther Uhlmann, Jian Zhai +1
In this paper, we analyze the nonlinear single pixel X-ray transform and study the reconstruction of from the measurement . Different from the well-known X-ray transfor…
Nonlinear ultrasound imaging modeled by a Westervelt equation
Sebastian Acosta, Gunther Uhlmann, Jian Zhai
We consider the ultrasound imaging problem governed by a nonlinear wave equation of Westervelt type with variable wave speed. We show that the coefficient of nonlinearity can be re…