ABSTRACT
INVERSE PROBLEMS FOR A SEMILINEAR HEAT
EQUATIONS WITH MEMORY
Kaya, Mü / jdat
Ph.D, Department of Mathematics
Supervisor: Prof. Dr. A. Okay Ç / 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.
| Identifer | oai:union.ndltd.org:METU/oai:etd.lib.metu.edu.tr:http://etd.lib.metu.edu.tr/upload/12606106/index.pdf |
| Date | 01 May 2005 |
| Creators | Kaya, Mujdat |
| Contributors | Celebi, Ahmet Okay |
| Publisher | METU |
| Source Sets | Middle East Technical Univ. |
| Language | English |
| Detected Language | English |
| Type | Ph.D. Thesis |
| Format | text/pdf |
| Rights | To liberate the content for public access |
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