23 citations · 62 across the 16 of their papers we have counts for
20 papers
Lectures on unique continuation for waves
Camille Laurent, Matthieu Léautaud
These notes are intended as an introduction to the question of unique continuation for the wave operator, and some of its applications. The general question is whether a solution t…
Concentration close to the cone for linear waves
Raphaël Côte, Camille Laurent
We are concerned with solutions to the linear wave equation. We give an asymptotic formula for large time, valid in the energy space, via an operator related to the Radon transform…
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…
Decay of semilinear damped wave equations:cases without geometric control condition
Romain Joly, Camille Laurent
We consider the semilinear damped wave equation . In this article, we obtain the first results concerning…
Exact Controllability of Nonlinear Heat Equations in Spaces of Analytic Functions
Camille Laurent, Lionel Rosier
It is by now well known that the use of Carleman estimates allows to establish the control-lability to trajectories of nonlinear parabolic equations. However, by this approach, it…