3 papers
math.AP2024
On the dimension of observable sets for the heat equation
A. Walton Green, Kévin Le Balc'h, Jérémy Martin +1
We consider the heat equation on a bounded domain in with Dirichlet boundary conditions. The primary aim of this paper is to prove that the heat equation is ob…
math.AP2024
Quantitative propagation of smallness and spectral estimates for the Schrödinger operator
Kévin Le Balc'h, Jérémy Martin
In this paper, we investigate quantitative propagation of smallness properties for the Schrödinger operator on a bounded domain in . We extend Logunov, Malinnikova's r…
math.AP2023
Global stabilization of the cubic defocusing nonlinear Schrödinger equation on the torus
Kévin Le Balc'h, Jérémy Martin
In this article, we prove the (uniform) global exponential stabilization of the cubic defocusing Schrödinger equation on the torus d-dimensional torus, for d=1, 2 or 3, with a line…