Semigroup properties of the streaming operator with multiplying boundary conditions
G. Borgioli, Silvia Totaro · Transport Theory and Statistical Physics · 1994
We study the one-dimensional streaming operator in a slab domain with boundary conditions of Maxwell type. By using techniques of the theory of semigroups of linear operators in a L1 space context, we prove that the streaming operator is the infinitesimal generator of a strongly continuos semigroup, even if the boundary is “particle multiplying”. This semigroup is positive, quasi-bounded and obviously not contractive.