4 citations · 5 across the 5 of their papers we have counts for
5 papers
Metric-uniform spectral inequality for the Laplacian on manifolds with bounded sectional curvature
Alix Deleporte, Jean Lagacé, Marc Rouveyrol
Given a Riemannian manifold endowed with a smooth metric satisfying upper and lower sectional curvature bounds, we show an equivalence property between the n…
Spectral estimates on hyperbolic surfaces and a necessary condition for observability of the heat semigroup on manifolds
Alix Deleporte, Marc Rouveyrol
This article is a continuation of arXiv:2401.14977. We study the concentration properties of spectral projectors on manifolds, in connection with the uncertainty principle. In arXi…
Spectral estimate for the Laplace-Beltrami operator on the hyperbolic half-plane
Marc Rouveyrol
The purpose of this note is to investigate the concentration properties of spectral projectors on manifolds. This question has been intensively studied (by Logvinenko--Sereda, Naza…
Stabilization of the wave equation on larger-dimension tori with rough dampings
Marc Rouveyrol
This paper deals with uniform stabilization of the damped wave equation. When the manifold is compact and the damping is continuous, the geometric control condition is known to be…
On the stable eigenvalues of perturbed anharmonic oscillators in dimension two
D. Bambusi, B. Langella, M. Rouveyrol
We study the asymptotic behavior of the spectrum of a quantum system which is a perturbation of a spherically symmetric anharmonic oscillator in dimension 2. We prove that a large…