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https://hdl.handle.net/20.500.14365/792
Title: | Identification of the Unknown Diffusion Coefficient in a Quasi-Linear Parabolic Equation by Semigroup Approach With Mixed Boundary Conditions | Authors: | Özbilge Kahveci, Ebru | Keywords: | semigroup approach coefficient identification parabolic equation Inverse Problems Uniqueness |
Publisher: | Wiley-Blackwell | Abstract: | In this article, a semigroup approach is presented for the mathematical analysis of the inverse coefficient problems of identifying the unknown diffusion coefficient k(u(x, t)) in the quasi-linear parabolic equation ut (x, t) = (k(u (x, t))u(x) (x, t))(x), with Dirichlet boundary conditions u(x) (0, t) = psi(0), u (1, t) = psi(1). The main purpose of this work is to analyze the distinguishability of the input-output mappings Psi[.]: k -> C(1) [0, T] using semigroup theory. In this article, it is shown that if the null space of semigroups T(t) and S(t) consists of only a zero function, then the input-output mappings Phi[.] and Psi[.] have the distinguishability property. Copyright (c) 2008 John Wiley & Sons, Ltd. | URI: | https://doi.org/10.1002/mma.974 https://hdl.handle.net/20.500.14365/792 |
ISSN: | 0170-4214 |
Appears in Collections: | Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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