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Analysis of a semigroup approach in the inverse problem of identifying an unknown coefficient

✍ Scribed by Ali Demir; Ebru Ozbilge

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
106 KB
Volume
31
Category
Article
ISSN
0170-4214

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✦ Synopsis

This article presents a semigroup approach to the mathematical analysis of the inverse coefficient problems of identifying the unknown coefficient k(u x ) in the quasi-linear parabolic equation u t (x, t) = (k(u x )u x (x, t)) x + F(x, t), with Dirichlet boundary conditions u(0, t) = 0 , u(1, t) = 1 and source function F(x, t). The main purpose of this paper is to investigate the distinguishability of the input-output mappings

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