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Generalized solution of non-autonomous photon transport problem

✍ Scribed by Yu-Hsien Chang; Cheng-Hong Hong

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
153 KB
Volume
33
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

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 Β© 2009 John Wiley & Sons, Ltd.

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