On the Exponential Bound of the Cutoff Resolvent
A simpler proof of a result of Burq [1] is presented.
On the Lax-Phillips scattering theory for transport equation
On the long range scattering for Stark Hamiltonians.
On the nonrelativistic limit of the Dirac hamiltonian
On the poles of the scattering matrix for two convex obstacles
On the quasi-classical asymptotics of the forward scattering amplitude and of the total scattering cross-section
On the quasi-classical limit of the total scattering cross-section in nonrelativistic quantum mechanics
On the real analyticity of the scattering operator for the Hartree equation
We study the real analyticity of the scattering operator for the Hartree equation . To this end, we exploit interior and exterior cut-off in time and space, together with a compactness argument to overcome difficulties which arise from absence of good properties as for the Klein-Gordon equation, such as the finite speed of propagation and ideal time decay estimate. Additionally, the method in this paper allows us to simplify the proof of analyticity of the scattering operator for the nonlinear...
On the scattering in Gevrey classes for the subcritical Hartree and Schrödinger equations
On the Scattering Matrix for N-Particle Hamiltonians
On the scattering theory of the Laplacian with a periodic boundary condition. II. Additional channels of scattering.
On the scattering theory of the Laplacian with a periodic boundary condition. I. Existence of wave operators.
On the Uniform Decay of the Local Energy
It is proved in [1],[2] that in odd dimensional spaces any uniform decay of the local energy implies that it must decay exponentially. We extend this to even dimensional spaces and to more general perturbations (including the transmission problem) showing that any uniform decay of the local energy implies that it must decay like O(t^(−2n) ), t ≫ 1 being the time and n being the space dimension.
Opérateur de diffraction pour le système de Maxwell en métrique de Schwarzschild
Opérateurs de convolution définis à partir d'une forme quadratique
Opérateurs de temps-retard dans la théorie de la diffusion