2 citations · 4 across the 3 of their papers we have counts for
6 papers · 1 filter
Logarithmic decay for damped hypoelliptic wave and Schr{ö}dinger equations
Camille Laurent, Matthieu Léautaud
We consider damped wave (resp. Schr{ö}dinger and plate) equations driven by a hypoelliptic "sum of squares" operator L on a compact manifold and a damping function b(x). We assume…
On uniform observability of gradient flows in the vanishing viscosity limit
Camille Laurent, Matthieu Léautaud
We consider a transport equation by a gradient vector field with a small viscous perturbation --. We study uniform observability (resp. controllability) properties in the (si…
Observability of the heat equation, geometric constants in control theory, and a conjecture of Luc Miller
Camille Laurent, Matthieu Léautaud
This article is concerned in the first place with the short-time observability constant of the heat equation from a subdomain of a bounded domain . The constant is of the fo…
Tunneling estimates and approximate controllability for hypoelliptic equations
Camille Laurent, Matthieu Léautaud
This article is concerned with quantitative unique continuation estimates for equations involving a "sum of squares" operator on a compact manifold assu…
Quantitative unique continuation for operators with partially analytic coefficients. Application to approximate control for waves
Camille Laurent, Matthieu Léautaud
In this article, we first prove quantitative estimates associated to the unique continuation theorems for operators with partially analytic coefficients of Tataru, Robbiano-Zuily a…
Delocalization of quasimodes on the disk
Nalini Anantharaman, Matthieu Léautaud, Fabricio Macià
This note deals with semiclassical measures associated to {(sufficiently accurate)} quasimodes for the Laplace-Dirichlet operator on the disk. In this time-independent set-…