Abstract: | This paper is devoted to the study of solvability of an evolution equation obtained as a hydrodynamic limit of a linear Boltzmann equation with elastic and inelastic scattering terms. An interesting feature of this equation is that it combines the diffusion operator and a singular operator of a kinetic type. The study is carried out in the L1 space which is natural from the physical point of view and allows to apply modifications of methods of the kinetic theory. Copyright © 2000 John Wiley & Sons, Ltd. |