On a Boltzmann equation for Haldane statistics

Journal article, 2019

The paper is a study of quantum quasi-påarticles obeying Haldane statistics in a fully non-linear Boltzmann equation model with large initial data on a torus. Strong L1 solutions are obtained for the Cauchy problem. The main results concern existence, uniqueness, and stability. Depending on the space dimension and the collision kernel, the results obtained are local or global in time.