Generalized solution of non-autonomous photon transport problem

Yu Hsien Chang, Cheng Hong Hong

Research output: Contribution to journalArticle

1 Citation (Scopus)

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.

Original languageEnglish
Pages (from-to)1012-1020
Number of pages9
JournalMathematical Methods in the Applied Sciences
Volume33
Issue number8
DOIs
Publication statusPublished - 2010 May 30

Keywords

  • Evolution system
  • Photon transport

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)

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