Classical approximation of a linearized three waves kinetic equation

Abstract

The fundamental solution of the classical approximation of a three waves kinetic equation that happens in the kinetic theory of a condensed gas of bosons near the critical temperature is obtained. It is also proved to be unique in a suitable space of distributions and several of its properties are described. The fundamental solution is used to solve the initial value problem for a general class of initial data.

54 pages. One Proposition and two references have been added. Some misprints have been corrected