Comportement asymptotique des valeurs propres d'opérateurs elliptiques dégénérés
Comportement asymptotique des valeurs propres du laplacien sur un ouvert à bord fractal
Comportement asymptotique des valeurs propres d'une classe d'opérateurs elliptiques et dégénérés en dimension 2
Comportement asymptotique des valeurs propres d’une classe d’opérateurs elliptiques dégénérés en dimension
Comportement asymptotique des valeurs propres pour une classe d'opérateurs elliptiques dégénérés
Comportement asymptotique précisé du spectre d’opérateurs globalement elliptiques dans
Comportement semi-classique du spectre des Hamiltoniens quantiques elliptiques
Cônes symplectiques et opérateurs de Toeplitz
Construction of the wave group for higher order elliptic boundary value problems
Continuous spectrum of a fourth order nonhomogeneous elliptic equation with variable exponent.
Control of networks of Euler-Bernoulli beams
Control of networks of Euler-Bernoulli beams
We consider the exact controllability problem by boundary action of hyperbolic systems of networks of Euler-Bernoulli beams. Using the multiplier method and Ingham's inequality, we give sufficient conditions insuring the exact controllability for all time. These conditions are related to the spectral behaviour of the associated operator and are sufficiently concrete in order to be able to check them on particular networks as illustrated on simple examples.
Cramér's formula for Heisenberg manifolds
Let be the error term in Weyl’s law for a 3-dimensional Riemannian Heisenberg manifold. We prove that , where is a specific nonzero constant and is an arbitrary small positive number. This is consistent with the conjecture of Petridis and Toth stating that .The idea of the proof is to use the Poisson summation formula to write the error term in a form which can be estimated by the method of the stationary phase. The similar result will be also proven in the -dimensional case.
Density theorems for exceptional eigenvalues of the Laplacian for congruence groups
Développements asymptotiques des perturbations lentes de l'opérateur de Schrödinger périodique
Développements asymptotiques pour des perturbations fortes de l'opérateur de Schrödinger périodique
Discrete spectrum of the periodic elliptic operator with a differential perturbation
Distribution des résonances et décroissance de l’énergie locale pour le problème de transmission
Distribution laws for integrable eigenfunctions
We determine the asymptotics of the joint eigenfunctions of the torus action on a toric Kähler variety. Such varieties are models of completely integrable systems in complex geometry. We first determine the pointwise asymptotics of the eigenfunctions, which show that they behave like Gaussians centered at the corresponding classical torus. We then show that there is a universal Gaussian scaling limit of the distribution function near its center. We also determine the limit...
Distribution of resonances for convex co-compact hyperbolic surfaces