4 citations · 7 across the 7 of their papers we have counts for
7 papers
Observability estimates for the Schr{ö}dinger equation in the plane with periodic bounded potentials from measurable sets
Kévin Le Balc'H, Jérémy Martin
The goal of this article is to obtain observability estimates for Schr{ö}dinger equations in the plane R 2. More precisely, considering a 2Z 2-periodic potential V L $\inf…
Spectral Inequalities For Anisotropic Shubin Operators
Jérémy Martin
In this paper, new spectral inequalities for finite combinations of eigenfunctions of anisotropic Shubin operators are presented. Given a subset and an energy level, we provide…
Approximate null-controllability with uniform cost for the hypoelliptic Ornstein-Uhlenbeck equations
Paul Alphonse, Jérémy Martin
We prove that the approximate null-controllability with uniform cost of the hypoelliptic Ornstein-Uhlenbeck equations posed on is characterized by an integral thickne…
Uncertainty principles in Gelfand-Shilov spaces and null-controllability
Jérémy Martin
We provide new uncertainty principles for functions in a general class of Gelfand-Shilov spaces. These results apply, in particular, with the classical Gelfand-Shilov spaces as wel…
Stabilization and approximate null-controllability for a large class of diffusive equations from thick control supports
Paul Alphonse, Jérémy Martin
We prove that the thickness property is a necessary and sufficient geometric condition that ensures the (rapid) stabilization or the approximate null-controllability with uniform c…
Spectral inequalities for combinations of Hermite functions and null-controllability for evolution equations enjoying Gelfand-Shilov smoothing effects
Jérémy Martin, Karel Pravda-Starov
This work is devoted to the study of uncertainty principles for finite combinations of Hermite functions. We establish some spectral inequalities for control subsets that are thick…
Geometric conditions for the exact controllability of fractional free and harmonic Schrödinger equations
Jérémy Martin, Karel Pravda-Starov
We provide necessary and sufficient geometric conditions for the exact controllability of the one-dimensional fractional free and fractional harmonic Schrödinger equations. The nec…