An asymptotic expansion theorem in transport theory

Abstract

This paper is devoted to discussing neutron transport system in a finite convex body with continuous energy bounded away from the origin. Under the assumptions that all the cross sections are continuous, it is shown, by virtue of the integrated semigroup theory, that Jorgens's asymptotic expansion theorem holds under the maximum norm | • | c, i.e., for every ϵ > 0, there exist positive constants C _m(ϵ) and T _m(ϵ) such that

for every φ ϵL ² and t > T _m(ϵ).