Weak spectral mapping theorems for C0-groups associated to transport equations in slab geometry

We show in this paper that the C0-groups governing neutron transport equations with reflecting boundary conditions in slab geometry satisfy a weak spectral mapping theorem in any Lp spaces 1⩽p<∞. The main part of this paper is dealing with collisionless transport C0-group while the full transport C0-group is dealt with by stability arguments.