58 citations · 120 across the 29 of their papers we have counts for
15 papers · 1 filter
Small-time approximate controllability of the logarithmic Schr\''dinger equation
Karine Beauchard, Rémi Carles, Eugenio Pozzoli
We consider Schr{ö}dinger equations with logarithmic nonlinearity and bilinear controls, posed on or . We prove their small-time global -approxima…
Small-time local control of a Schrödinger equation: a negative and a positive quadratic result
Karine Beauchard, Frédéric Marbach, Thomas Perrin
We study the small-time local controllability (STLC) of a bilinear Schrödinger equation with Neumann boundary conditions near its ground state. We focus on the degenerate case wher…
Heat equation on the Heisenberg group: observability and applications
Karine Beauchard, Piermarco Cannarsa
We investigate observability and Lipschitz stability for the Heisenberg heat equation on the rectangular domain taking as observation…
Geometric conditions for the null-controllability of hypoelliptic quadratic parabolic equations with moving control supports
Karine Beauchard, Michela Egidi, Karel Pravda-Starov
We study the null-controllability of some hypoelliptic quadratic parabolic equations posed on the whole Euclidean space with moving control supports, and provide necessary or suffi…
Null-controllability of linear parabolic-transport systems
Karine Beauchard, Armand Koenig, Kévin Le Balc'h
Over the past two decades, the controllability of several examples of parabolic-hyperbolic systems has been investigated. The present article is the beginning of an attempt to find…
Spectral estimates for finite combinations of Hermite functions and null-controllability of hypoelliptic quadratic equations
Karine Beauchard, Philippe Jaming, Karel Pravda-Starov
Some recent works have shown that the heat equation posed on the whole Euclidean space is null-controllable in any positive time if and only if the control subset is a thick set. T…