4 citations · 4 across the 2 of their papers we have counts for
4 papers
Long time energy averages and a lower resolvent estimate for damped waves
Matthieu Léautaud
We consider the damped wave equation on a compact manifold. We propose different ways of measuring decay of the energy (time averages of lower energy levels, decay for frequency lo…
Control From an Interior Hypersurface
Jeffrey Galkowski, Matthieu Léautaud
We consider a compact Riemannian manifold (possibly with boundary) and an interior hypersurface (possibly with boundary). We study observation…
Wigner measures and observability for the Schrödinger equation on the disk
Nalini Anantharaman, Matthieu Léautaud, Fabricio Macià
We analyse the structure of semiclassical and microlocal Wigner measures for solutions to the linear Schrödinger equation on the disk, with Dirichlet boundary conditions. Our appro…
Geometric analysis of the linear Boltzmann equation I. Trend to equilibrium
Daniel Han-Kwan, Matthieu Léautaud
This work is devoted to the analysis of the linear Boltzmann equation in a bounded domain, in the presence of a force deriving from a potential. The collision operator is allowed t…