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Analysis for the identification of an unknown diffusion coefficient via semigroup approach

✍ Scribed by Ali Demir; Ebru Ozbilge

Publisher: John Wiley and Sons
Year: 2009
Tongue: English
Weight: 103 KB
Volume: 32
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.1141

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✦ Synopsis

Abstract

This paper presents a semigroup approach for the mathematical analysis of the inverse coefficient problems of identifying the unknown coefficient k(u~x~) in the inhomogenenous quasi‐linear parabolic equation u~t~(x, t)=(k(u~x~)u~x~(x, t))~x~ +F(u), with the Dirichlet boundary conditions u(0, t)=ψ~0~, u(1, t)=ψ~1~ and source function F(u). The main purpose of this paper is to investigate the distinguishability of the input–output mappings Φ[·]:𝒦→C^1^[0, T], Ψ[·]:𝒦→C^1^[0, T] via semigroup theory. Copyright © 2009 John Wiley & Sons, Ltd.

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