Résonances en limite semi-classique
Résonances et time decay en limite semiclassique
Resonances for metric (and other) bottles.
Resonances for strictly convex obstacles
On considère le problème de Dirichlet à l’éxtérieur d’un obstacle strictement convexe borné à bord . Sous une hypothèse sur la variation de la courbure, on obtient à un facteur près, le nombre de résonances de module , associées à la première racine de la fonction d’Airy.
Resonances for transparent obstacles
This paper is concerned with the distribution of the resonances near the real axis for the transmission problem for a strictly convex bounded obstacle in , , with a smooth boundary. We consider two distinct cases. If the speed of propagation in the interior of the body is strictly less than that in the exterior, we obtain an infinite sequence of resonances tending rapidly to the real axis. These resonances are associated with a quasimode for the transmission problem the frequency support of...
Resonances generated by analytic singularities on the density of states measure for perturbed periodic Schrödinger operators.
Resonances in an abstract analytic scattering theory
Résonances multiples en limite semi-classique
Resonances of N-body Schrödinger operators with stark effect
Résonances près d’une énergie critique
Dans cet exposé, on décrit un travail effectué sous la direction de J. Sjöstrand. On prouve des majorations et des minorations du nombre de résonances d’un opérateur de Schrödinger semi-classique dans des petits disques centrés en , une valeur critique de .
Résultats de finitude pour les lacunes spectrales
Results in L..(...) for the Schrödinger equation with a time-dependent potential.
Résurgence quantique
Riemannian manifolds with maximal eigenfunction growth
Riemann-Lebesgue properties of Green's functions with applications to inverse scattering.
Riemannsche Flächen mit Eigenwerten in (0, ...).
Riesz basis generation, eigenvalues distribution, and exponential stability for a Euler-Bernoulli beam with joint feedback control.
Using an abstract result on Riesz basis generation for discrete operators in general Hilbert spaces, we show, in this article, that the generalized eigenfunctions of an Euler-Bernoulli beam equation with joint linear feedback control form a Riesz basis for the state space. The spectrum-determined growth condition is hence obtained. Meanwhile, the exponential stability as well as the asymptotic expansion of eigenvalues are also readily obtained by a straightforward computation.
Riesz means for the eigenfunction expansions for a class of hypo-elliptic differential operators
We study the Riesz means for the eigenfunction expansions of a class of hypoelliptic differential operators on the Heisenberg group. The operators we consider are homogeneous with respect to dilations and invariant under the action of the unitary group. We obtain convergence results in norm, at Lebesgue points and almost everywhere. We also prove localization results.
Riesz means of bounded states and semi-classical limit connected with a Lieb-Thirring conjecture. II
Rotationally invariant periodic solutions of semilinear wave equations.