Generalized solution of the photon transport problem

Yu Hsien Chang; Cheng Hong Hong

doi:10.4153/CMB-2010-089-6

Generalized solution of the photon transport problem

Yu Hsien Chang^*, Cheng Hong Hong

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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 C ₀-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.

Original language	English
Pages (from-to)	28-38
Number of pages	11
Journal	Canadian Mathematical Bulletin
Volume	54
Issue number	1
DOIs	https://doi.org/10.4153/CMB-2010-089-6
Publication status	Published - 2011 Mar

Keywords

C -semigroup
Photon transport

ASJC Scopus subject areas

General Mathematics

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10.4153/CMB-2010-089-6

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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 C 0-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.",

keywords = "C -semigroup, Photon transport",

author = "Chang, {Yu Hsien} and Hong, {Cheng Hong}",

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AU - Hong, Cheng Hong

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AB - 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 C 0-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.

KW - C -semigroup

KW - Photon transport

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Generalized solution of the photon transport problem

Abstract

Keywords

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