We give necessary and sufficient conditions for the controllability of a Schrödinger equation
involving the sub-Laplacian of a nilmanifold obtained by taking the quotient of a group of …

This article is devoted to the characterization of the minimal null control time for abstract
linear control problem. More precisely we aim at giving a precise answer to the following …

We consider the two-dimensional Grushin Schrödinger equation posed on a finite cylinder
Ω=(− 1, 1) x× 𝕋 y with Dirichlet boundary condition. We obtain sharp observability by any …

The goal of this article is to provide several sharp results on the minimal time required for
observability of several Grushin-type equations. Namely, it is by now well-known that …

This paper is devoted to the local null-controllability of the nonlinear KdV equation equipped
the Dirichlet boundary conditions using the Neumann boundary control on the right. Rosier …

In this article, we revisit a result by A. Koenig concerning the non-controllability of the half-
heat equation posed on R, with a control domain that is an open set whose exterior contains …

It is well known that observability (and, by duality, controllability) of the elliptic wave
equation, ie, with a Riemannian Laplacian, in time T 0 is almost equivalent to the geometric …

We prove quantitative spectral inequalities for the (anisotropic) Shubin operators on the
whole Euclidean space, thus relating for functions from spectral subspaces associated to …

We consider the null-controllability problem for the generalized Baouendi-Grushin equation
$(\partial_t-\partial_x^ 2-q (x)^ 2\partial_y^ 2) f= 1_\omega u $ on a rectangular domain …

In this article, we prove null-controllability results for the heat equation associated
tofractional Baouendi-Grushin operators $$\partial_t u+\bigl (-\Delta_x-V (x)\Delta_y\bigr) …