28 citations · 38 across the 6 of their papers we have counts for
6 papers
The semilinear wave equation on asymptotically euclidean manifolds
Jean-Francois Bony, Dietrich Hafner
We consider the quadratically semilinear wave equation on R^d, d>=3, equipped with a Riemannian metric. This metric is non-trapping and approaches the Euclidean metric polynomially…
Spectrum of the product of Toeplitz matrices with application in probability
Bernard Bercu, Jean-Francois Bony, Vincent Bruneau
We study the spectrum of the product of two Toeplitz operators. Assume that the symbols of these operators are continuous and real-valued and that one of them is non-negative. We p…
Resolvent and scattering matrix at the maximum of the potential
Ivana Alexandrova, Jean-Francois Bony, Thierry Ramond
We study the microlocal structure of the resolvent of the semi-classical Schrodinger operator with short range potential at an energy which is a unique non-degenerate global maximu…
Decay and non-decay of the local energy for the wave equation in the De Sitter - Schwarzschild metric
Jean-Francois Bony, Dietrich Hafner
We describe an expansion of the solution of the wave equation in the De Sitter - Schwarzschild metric in terms of resonances. The main term in the expansion is due to a zero resona…
Semiclassical scattering amplitude at the maximum point of the potential
Ivana Alexandrova, Jean-Francois Bony, Thierry Ramond
We compute the scattering amplitude for Schrödinger operators at a critical energy level, corresponding to the maximum point of the potential. We follow the wrok of Robert and Tamu…
Scattering theory for the Schrodinger equation with repulsive potential
Jean-Francois Bony, Remi Carles, Dietrich Haefner +1
We consider the scattering theory for the Schrodinger equation with as a reference Hamiltonian, for , in any space dimension. We prove that when this Hamilto…