2 papers
math.AP2005
The radiation condition at infinity for the high-frequency Helmholtz equation with source term: a wave packet approach
François Castella
We consider the high-frequency Helmholtz equation with a given source term, and a small absorption parameter $\a>0$. The high-frequency (or: semi-classical) parameter is $\eps>0$.…
math.AP2005
On The Weak-Coupling Limit for Bosons and Fermions
Dario Benedetto, François Castella, Raffaele Esposito +1
In this paper we consider a large system of Bosons or Fermions. We start with an initial datum which is compatible with the Bose-Einstein, respectively Fermi-Dirac, statistics. We…