Quantitative tauberian approach to collisionless transport equations with diffuse boundary operators

This paper gives a spectral approach to time asymptotics of collisionless transport semi-groups with general diffuse boundary operators. The strong stability of the invariant density is derived from the classical Ingham theorem. A recent quantitative version of this theorem provides algebraic rates of convergence to equilibrium. MSC: primary 82C40; secondary 35F15, 47D06