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math.AP2004★ 40 cited
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…
math.AP2003
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^…
math.AP2002★ 14 cited
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…