Existence and uniqueness of a solution for a two dimensional nonlinear inverse diffusion problem

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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Vydané v:	Nonlinear analysis Ročník 74; číslo 7; s. 2462 - 2467
Hlavní autori:	Abtahi, M., Pourgholi, R., Shidfar, A.
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Amsterdam Elsevier Ltd 01.04.2011 Elsevier
Predmet:	Coefficients Diffusion Exact sciences and technology Inverse Inverse problem Inverse problems Mathematical analysis Mathematics Nonlinear diffusion problem Nonlinearity Numerical analysis Numerical analysis in abstract spaces Numerical analysis. Scientific computation Sciences and techniques of general use Square porous medium Uniqueness Nonlinear diffusion problem Square porous medium 35K57 35R30 Inverse problem Existence of solution Nonlinear analysis Porous medium Two-dimensional calculations Nonlinear problems Mathematical model
ISSN:	0362-546X, 1873-5215
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