6 papers · 1 filter
Determination of an anisotropic perturbation in elastic inverse scattering
Matti Lassas, Shiqi Ma, Lauri Oksanen +2
We consider a linearized inverse scattering problem for elastic waves. We prove that a fully anisotropic perturbation of the elastic parameters around an isotropic and homogeneous…
Inverse stability for hyperbolic equations with different initial conditions
Shiqi Ma
We establish Lipschitz stability for both the potential and the initial conditions from a single boundary measurement in the context of a hyperbolic boundary initial value problem.…
Inverse scattering for the fractional Schrödinger equation
Saumyajit Das, Tuhin Ghosh, Shiqi Ma
This article is devoted to studying the inverse scattering for the fractional Schrödinger equation, and in particular we solve the Born approximation problem. Based on the (,…
Inverse problems for semilinear Schrödinger equations at large frequency via polynomial resolvent estimates on manifolds
Katya Krupchyk, Shiqi Ma, Suman Kumar Sahoo +2
We study inverse boundary problems for semilinear Schrödinger equations on smooth compact Riemannian manifolds of dimensions with smooth boundary, at a large fixed frequenc…
Lecture notes for pseudodifferential operators and microlocal analysis
Shiqi Ma
This is a introductory course focusing some basic notions in pseudodifferential operators (DOs) and microlocal analysis. We start this lecture notes with some notations and nece…
Determining a random Schrödinger equation with unknown source and potential
Jingzhi Li, Hongyu Liu, Shiqi Ma
We are concerned with the direct and inverse scattering problems associated with a time-harmonic random Schrödinger equation with unknown source and potential terms. The well-posed…