Inverse problems for a semilinear heat equation with memory

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2005

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Kaya, Müjdat

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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.

Subject Keywords

Differential equations.

URI

http://etd.lib.metu.edu.tr/upload/12606106/index.pdf
https://hdl.handle.net/11511/15118

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Graduate School of Natural and Applied Sciences, Thesis

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Citation Formats

M. Kaya, “Inverse problems for a semilinear heat equation with memory,” Ph.D. - Doctoral Program, Middle East Technical University, 2005.