Existence and uniqueness of a solution for a two dimensional nonlinear inverse diffusion problem |
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| Authors: | M Abtahi A Shidfar |
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| Institution: | a School of Mathematics and Computer Science, Damghan University of Basic Sciences, Damghan, Iranb School of Mathematics, Iran University of Science and Technology, Narmak, Tehran-16, Iran |
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| Abstract: | The problem of identifying the coefficient in a square porous medium is considered. It is shown that under certain conditions of data f,g, and for a properly specified class A of admissible coefficients, there exists at least one a∈A such that (a,u) is a solution of the corresponding inverse problem. |
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| Keywords: | 35R30 35K57 |
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