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

DOI10.1016/j.na.2010.12.001zbMath1209.35147OpenAlexW1997132253MaRDI QIDQ631717

Abdollah Shidfar, Reza Pourgholi, Mortaza Abtahi

Publication date: 14 March 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.12.001

zbMATH Keywords

inverse problemnonlinear diffusion problemsquare porous medium

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Flows in porous media; filtration; seepage (76S05) Inverse problems for PDEs (35R30)

Related Items (9)

Modeling the one-dimensional inverse heat transfer problem using a Haar wavelet collocation approach ⋮ Solving an inverse initial-boundary-value problem using basis function method ⋮ Applications of Haar basis method for solving some ill-posed inverse problems ⋮ Quasi-solution approach for a two dimensional nonlinear inverse diffusion problem ⋮ Numerical solution of the nonlinear evolutional inverse problem related to elastoplastic torsional problem ⋮ A numerical solution of a two-dimensional IHCP ⋮ RESOLUTION OF AN INVERSE PROBLEM BY HAAR BASIS AND LEGENDRE WAVELET METHODS ⋮ Analysis of a generalized regularized Gauss–Newton method under heuristic rule in Banach spaces ⋮ Existence and uniqueness for a nonlinear inverse reaction-diffusion problem with a nonlinear source in higher dimensions

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