Generalized Solution of the Photon Transport Problem
Yu-Hsien Chang, Cheng-Hong Hong · Canadian Mathematical Bulletin · 2010
Abstract The purpose of this paper is to show the existence of a generalized solution of the photon transport problem. By means of the theory of equicontinuous C0-semigroup on a sequentially complete locally convex topological vector space we show that the perturbed abstract Cauchy problem has a unique solution when the perturbation operator and the forcing term function satisfy certain conditions. A consequence of the abstract result is that it can be directly applied to obtain a generalized solution of the photon transport problem.