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Generalized solution of non‐autonomous photon transport problem
Author(s) -
Chang YuHsien,
Hong ChengHong
Publication year - 2009
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1231
Subject(s) - mathematics , operator (biology) , cauchy problem , perturbation (astronomy) , regular polygon , initial value problem , forcing (mathematics) , mathematical analysis , convex function , generalized function , equicontinuity , function space , physics , biochemistry , chemistry , geometry , repressor , quantum mechanics , transcription factor , gene
The purpose of this paper is to show the existence of a generalized solution of a non‐autonomous transport problem. By means of the theory of equicontinuous evolution system on a sequentially complete locally convex topological vector space, we show that the perturbed abstract non‐autonomous Cauchy problem has a unique solution when the perturbation operator and 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 non‐autonomous photon transport problem. Copyright © 2009 John Wiley & Sons, Ltd.