7 citations · 7 across the 4 of their papers we have counts for
6 papers
Geometry of wave damping on the torus
Kiril Datchev, Perry Kleinhenz, Antoine Prouff
Energy decay rates of damped waves on the torus depend on the behavior of the damping near the undamped region and on the geometry of the damped set. In this paper we refine these…
Egorov's theorem in the Weyl--Hörmander calculus
Antoine Prouff
We prove a general version of Egorov's theorem for evolution propagators in the Euclidean space, in the Weyl--Hörmander framework of metrics on the phase space. Mild assumptions on…
Smoothing effect and quantum-classical correspondence for the Schr{ö}dinger equation with confining potential
Antoine Prouff
The smoothing effect states that solutions to the Schr{ö}dinger equation in the Euclidean space have, for almost-every time, a local-in-space improved regularity (gain of half a de…
Uniform stability of the damped wave equation with a confining potential in the Euclidean space
Antoine Prouff
We investigate trend to equilibrium for the damped wave equation with a confining potential in the Euclidean space. We provide with necessary and sufficient geometric conditions fo…
Observability of the Schr{ö}dinger equation with subquadratic confining potential in the Euclidean space
Antoine Prouff
We consider the Schr{ö}dinger equation in , , with a confining potential growing at most quadratically. Our main theorem characterizes open sets from which o…
Stability of optimal traffic plans in the irrigation problem
Maria Colombo, Antonio de Rosa, Andrea Marchese +2
We prove the stability of optimal traffic plans in branched transport. In particular, we show that any limit of optimal traffic plans is optimal as well. This is the Lagrangian cou…