2 citations · 2 across the 9 of their papers we have counts for
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Geometric condition for the observability of electromagnetic Schrödinger operators on
Kévin Le Balc'h, Jingrui Niu, Chenmin Sun
In this article we revisit the observability of the Schrödinger equation on the two-dimensional torus. In contrast to the Schrödinger operator with a purely electric potential, for…
Control of blow-up profiles for the mass-critical focusing nonlinear Schrödinger equation on bounded domains
Ludovick Gagnon, Kévin Le Balc'h
In this paper, we consider the mass-critical focusing nonlinear Schrödinger on bounded two-dimensional domains with Dirichlet boundary conditions. In the absence of control, it is…
-estimates, local well-posedness and controllability for linear and semilinear backward SPDEs
Víctor Hernández-Santamaría, Kévin Le Balc'h, Liliana Peralta
In this paper, we study linear backward parabolic SPDEs in bounded domains and present new a priori estimates for their weak solutions. Inspired by the seminal work of Y. Hu, J. Ma…
Almost sharp local Bernstein estimates for Laplace eigenfunctions on compact Riemannian manifolds
Kévin Le Balc'h
We study local growth properties of Laplace eigenfunctions on compact Riemannian manifolds. Following the paradigm introduced by Donnelly and Fefferman in the late 1980s, an eigenf…
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…
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…