Local classical solutions of a three excitations kinetic system for a homogeneous condensed gas of bosons

Abstract

Short time existence of classical solutions is proved for a system of equations that involves a three excitations kinetic operator. The system is related to the description of a gas of bosons below but close to the critical temperature, where the three excitations integral aims at describing the interaction between the particles in the condensate and the excitations in the normal gas. Some qualitative properties of the solutions are obtained.

Some of the results are not correct. Revision is needed