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Inverse Problems For A Semilinear Heat Equation With Memory

ABSTRACT


INVERSE PROBLEMS FOR A SEMILINEAR HEAT
EQUATIONS WITH MEMORY

Kaya, M&uuml / jdat
Ph.D, Department of Mathematics
Supervisor: Prof. Dr. A. Okay &Ccedil / elebi
Co-Supervisor: Prof. Dr. Varga Kalantarov
May 2005, 79 pages

In this thesis, we study the existence and uniqueness of the solutions of the inverse problems to identify the memory kernel k and the source term h, derived from

First, we obtain the structural stability for k, when p=1 and the coefficient p, when g( )= .
To identify the memory kernel, we find an operator equation after employing the half Fourier transformation. For the source term identification, we make use of the direct application of the final overdetermination conditions.

Identiferoai:union.ndltd.org:METU/oai:etd.lib.metu.edu.tr:http://etd.lib.metu.edu.tr/upload/12606106/index.pdf
Date01 May 2005
CreatorsKaya, Mujdat
ContributorsCelebi, Ahmet Okay
PublisherMETU
Source SetsMiddle East Technical Univ.
LanguageEnglish
Detected LanguageEnglish
TypePh.D. Thesis
Formattext/pdf
RightsTo liberate the content for public access

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