50 citations · 100 across the 16 of their papers we have counts for
16 papers
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…
The anisotropic Calderón problem at large fixed frequency on manifolds with invertible ray transform
Shiqi Ma, Suman Kumar Sahoo, Mikko Salo
We consider the inverse problem of recovering a potential from the Dirichlet to Neumann map at a large fixed frequency on certain Riemannian manifolds. We extend the earlier result…
An inverse problem for semilinear equations involving the fractional Laplacian
Pu-Zhao Kow, Shiqi Ma, Suman Kumar Sahoo
Our work concerns the study of inverse problems of heat and wave equations involving the fractional Laplacian operator with zeroth order nonlinear perturbations. We recover nonline…
Fixed angle inverse scattering for sound speeds close to constant
Shiqi Ma, Leyter Potenciano-Machado, Mikko Salo
We study the fixed angle inverse scattering problem of determining a sound speed from scattering measurements corresponding to a single incident wave. The main result shows that a…
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…
Regularity and energy of hyperbolic boundary value problems on non-timelike hypersurfaces with lower order terms
Shiqi Ma
We study second order hyperbolic equations with initial conditions, a nonhomogeneous Dirichlet boundary condition and a source term. We prove the solution possesses regularit…
Stationary phase lemmas for general functions
Shiqi Ma
We give some details about the stationary phase lemma. We first prove a special case where the high order terms are derived explicitly. Based on that, we prove a more general case…
Fixed angle inverse scattering in the presence of a Riemannian metric
Shiqi Ma, Mikko Salo
We consider a fixed angle inverse scattering problem in the presence of a known Riemannian metric. First, assuming a no caustics condition, we study the direct problem by utilizing…
On recent progress of single-realization recoveries of random Schrödinger systems
Shiqi Ma
We consider the recovery of some statistical quantities by using the near-field or far-field data in quantum scattering generated under a single realization of the randomness. We s…
Inverse problem for a random Schrödinger equation with unknown source and potential
Hongyu Liu, Shiqi Ma
In this paper, we study an inverse scattering problem associated with the time-harmonic Schrödinger equation where both the potential and the source terms are unknown. The source t…
Determining a random Schrödinger operator: both potential and source are random
Jingzhi Li, Hongyu Liu, Shiqi Ma
We study an inverse scattering problem associated with a Schrödinger system where both the potential and source terms are random and unknown. The well-posedness of the forward scat…
Spatio-Temporal Road Scene Reconstruction using Superpixel Markov Random Field
Yaochen Li, Yuehu Liu, Jihua Zhu +3
Scene model construction based on image rendering is an indispensable but challenging technique in computer vision and intelligent transportation systems. In this paper, we propose…
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…