We are interested in the exact null controllability of the equation∂ tf−∂ x 2 f− x 2∂ y 2 f= 1 ω
u, with control u supported on ω. We show that, when ω does not intersect a horizontal band …

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 …

This memoir is concerned with quantitative unique continuation estimates for equations
involving a “sum of squares” operator $\mathcal {L} $ on a compact manifold $\mathcal {M} …

This paper is devoted to the study of the internal null-controllability of the Grushin equation.
We determine the minimal time of controllability for a large class of non-rectangular control …

For α∈(0,2) we study the null controllability of the parabolic operator Pu=u_t-(|x|^αu_x)_x -
1<x<1), which degenerates at the interior point x=0 for locally distributed controls acting only …

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 …

We investigate observability and Lipschitz stability for the Heisenberg heat equation on the
rectangular domain Ω=(− 1, 1)× T× T taking as observation regions slices of the form ω=(a …

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 …

We consider the equation (\partial_t+ρ(-Δ))f(t,x)=1_ωu(t,x), x∈\mathbbR or \mathbbT. We
prove it is not null-controllable if ρ is analytic on a conic neighborhood of \mathbbR_+ and …