The linear Boltzmann equation with the dependent operators in a space of distributions

Abstract

In [13] the linear Boltzmann equation in a space of distributions is investigated, where the operators are not time dependent. Here, the more complicated case of time dependence is considered. The work in a space of distributions has an advantage, namely, one can construct a very general existence- and uniqueness theorem. In this way, classical Banach spaces can be regarded as special cases. This fact is pointed out in the second part of the paper.