40 citations · 93 across the 6 of their papers we have counts for
6 papers
On the null-controllability of the heat equation in unbounded domains
Luc Miller
We make two remarks about the null-controllability of the heat equation with Dirichlet condition in unbounded domains. Firstly, we give a geometric necessary condition (for interio…
Controllability cost of conservative systems: resolvent condition and transmutation
Luc Miller
This article concerns the exact controllability of unitary groups on Hilbert spaces with unbounded control operator. It provides a necessary and sufficient condition not involving…
The control transmutation method and the cost of fast controls
Luc Miller
In this paper, the null controllability in any positive time T of the first-order equation (1) x'(t)=e^{iθ}Ax(t)+Bu(t) (|θ|<π/2 fixed) is deduced from the null controllability in s…
How violent are fast controls for Schroedinger and plate vibrations ?
Luc Miller
Given a time T>0 and a region Omega on a compact Riemannian manifold M, we consider the best constant, denoted C_{T,Omega}, in the observation inequality for the Schroedinger evolu…
Geometric bounds on the growth rate of null-controllability cost for the heat equation in small time
Luc Miller
Given a control region on a compact Riemannian manifold , we consider the heat equation with a source term localized in . It is known that any initial data in $L^…
Semiclassical Nonlinear Schrodinger equations with potential and focusing initial data
Remi Carles, Luc Miller
We study the asymptotic behaviour of solutions to semi-classical nonlinear Schrodinger equations with a potential, for concentrating and oscillating initial data, when the nonlinea…