6 citations · 10 across the 10 of their papers we have counts for
10 papers
Recovering All Coefficients in the Schrödinger Equation With Finite Sets of Boundary Measurements
Shitao Liu, Antonio Pierrottet
We consider an inverse problem of recovering all spatial dependent coefficients in the time dependent Schrödinger equation defined on an open bounded domain in , $n\g…
Radial Basis Operator Networks
Jason Kurz, Sean Oughton, Shitao Liu
Operator networks are designed to approximate nonlinear operators, which provide mappings between infinite-dimensional spaces such as function spaces. These networks are playing an…
An Inverse Hyperbolic Problem with Application to Joint Photoacoustic Parameter Determination
Shitao Liu, Gunther Uhlmann, Yang Yang
We consider an inverse problem of recovering a parameter appearing in all levels in a second-order hyperbolic equation from a single boundary measurement. The model is motivated fr…
Recover all Coefficients in Second-Order Hyperbolic Equations from Finite Sets of Boundary Measurements
Shitao Liu, Antonio Pierrottet, Scott Scruggs
We consider the inverse hyperbolic problem of recovering all spatial dependent coefficients, which are the wave speed, the damping coefficient, potential coefficient and gradient c…
Source Reconstruction and Stability via Boundary Control of Abstract Viscoelastic Systems
Walton Green, Shitao Liu
We study the inverse source problem for a class of viscoelastic systems from a single boundary measurement in a general spatial dimension. We give specific reconstruction formula a…
A Harmonic Analysis Proof of the Boundary Observability Inequality for the Wave Equation and Visco-Elastic Equation
Walton Green, Shitao Liu, Mishko Mitkovski
In this paper, we give a harmonic analysis proof of the Neumann boundary observability inequality for the wave equation in an arbitrary space dimension. Our proof is elementary in…