28 citations · 38 across the 6 of their papers we have counts for
3 papers · 2 filters
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…