4 citations · 5 across the 6 of their papers we have counts for
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Observability of Schrödinger equations in Euclidean space
Walton Green, Perry Kleinhenz
In this paper we introduce a new dynamical condition, the comb geometric control condition, which is sufficient for observability of the Schrödinger equation in Euclidean space. We…
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…
On the Energy Decay Rate of the Fractional Wave Equation on with Relatively Dense Damping
Walton Green
We establish upper bounds for the decay rate of the energy of the damped fractional wave equation when the averages of the damping coefficient on all intervals of a fixed length ar…
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…