This paper studies the quantum Boltzmann Nordheim equation from a Boltzmann
equation for Haldane statistics. Strong solutions are obtained for the Cauchy
problem with initial data in L1 and uniformly bounded on a one (resp. two or
three)-dimensional torus for three-dimensional velocities and pseudo-Maxwellian
(resp. very soft) forces. The main results are existence, uniqueness and
stability of solutions conserving mass, momentum, and energy, with the uniform
bound exploding if the solutions are only local in time.Comment: 20 pages. arXiv admin note: text overlap with arXiv:1711.10357,
arXiv:1601.06927, arXiv:1611.0747