Resolvent positive operators and inhomogeneous boundary conditions
Resolventenkerne, Carleman-Operatoren in LP-Räumen und Hille-Tamarkin-Operatoren.
Resonance and strong resonance for semilinear elliptic equations in .
Resonance expansions in wave propagation
Resonance functions of two-body Schrödinger operators
Resonance problems with respect to the Fučík spectrum of the -Laplacian.
Resonance theory for periodic Schrödinger operators
Resonance theory of two-body Schrödinger operators
Resonance with respect to the Fučík spectrum.
Resonances and Spectral Shift Function near the Landau levels
We consider the 3D Schrödinger operator where , is a magnetic potential generating a constant magneticfield of strength , and is a short-range electric potential which decays superexponentially with respect to the variable along the magnetic field. We show that the resolvent of admits a meromorphic extension from the upper half plane to an appropriate Riemann surface , and define the resonances of as the poles of this meromorphic extension. We study their distribution near any fixed...
Résonances de Feschbach en limite semi-classique
Résonances de Rayleigh en dimension 2
Nous étudions les résonances de Rayleigh créées par un obstacle strictement convexe à bord analytique en dimension 2. Nous montrons qu’il existe exactement deux suites de résonances et convergeant exponentiellement vite vers l’axe réel dans un voisinage polynomial de l’axe réel, et exponentiellement proches d’une suite de quasimodes réels. De plus, est un symbole analytique d’ordre 0 en la variable dont on donne le premier terme du développement. Nous construisons pour cela des quasimodes...
Résonances de Rayleigh en dimension deux
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