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 .
Resonant delocalization for random Schrödinger operators on tree graphs
We analyse the spectral phase diagram of Schrödinger operators on regular tree graphs, with the graph adjacency operator and a random potential given by random variables. The main result is a criterion for the emergence of absolutely continuous spectrum due to fluctuation-enabled resonances between distant sites. Using it we prove that for unbounded random potentials spectrum appears at arbitrarily weak disorder in an energy regime which extends beyond the spectrum of. Incorporating...
Résultats de convergence et de non-convergence de l’équation de Von-Neumann périodique vers l’équation de Boltzmann quantique.
Résultats d'existence et de non-existence pour la solution positive et bornée d'une e.d.p. elliptique non linéaire
Résultats d'existence pour certains problèmes elliptiques quasilinéaires
Results in L..(...) for the Schrödinger equation with a time-dependent potential.
Retractions onto the Space of Continuous Divergence-free Vector Fields
We prove that there does not exist a uniformly continuous retraction from the space of continuous vector fields onto the subspace of vector fields whose divergence vanishes in the distributional sense. We then generalise this result using the concept of -charges, introduced by De Pauw, Moonens, and Pfeffer: on any subset satisfying a mild geometric condition, there is no uniformly continuous representation operator for -charges in .
Reverse functional inequalities and their applications to nonlinear elliptic boundary value problems.
Revisiting the method of sub- and supersolutions for nonlinear elliptic problems.
Riccati inequality and oscillation criteria for PDE with -Laplacian.
Riccati-type inequality and oscillation criteria for a half-linear PDE with damping.
Riemann-Lebesgue properties of Green's functions with applications to inverse scattering.
Riesz means of bounded states and semi-classical limit connected with a Lieb-Thirring conjecture. II
Rigidity of generalized laplacians and some geometric applications. (Summary).
Rigidity of generalized laplacians and some geometric applications.
Risoluzione di una congettura di De Giorgi in
Risultati di esistenza, regolarità e confronto per equazioni ellittiche
Robin type conditions arising from concentrated potentials