2 papers
math.AP2012
Radiation condition at infinity for the high-frequency Helmholtz equation: optimality of a non-refocusing criterion
Aurélien Klak, François Castella
We consider the high frequency Helmholtz equation with a variable refraction index (), supplemented with a given high frequency source term supported near the…
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…