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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Bibliographic Details
Published in:Nonlinear analysis Vol. 74; no. 7; pp. 2462 - 2467
Main Authors: Abtahi, M., Pourgholi, R., Shidfar, A.
Format: Journal Article
Language:English
Published: Amsterdam Elsevier Ltd 01.04.2011
Elsevier
Subjects:
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
Online Access:Get full text
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Summary: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.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2010.12.001