Existence and uniqueness for a nonlinear inverse reaction-diffusion problem with a nonlinear source in higher dimensions

DOI10.1002/mma.2765zbMath1278.45011OpenAlexW2004218445MaRDI QIDQ2867880

Süleyman Ulusoy, Salih Tatar, Fahir Talay Akyildiz

Publication date: 20 December 2013

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2765

zbMATH Keywords

maximum principleinverse problemill-posednessadditional conditionadmissible coefficient

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (4)

On approximation of coefficient inverse problems for differential equations in functional spaces ⋮ Hydromagnetic effects on non-Newtonian Hiemenz flow ⋮ On Source Identification Problem for Telegraph Differential Equations ⋮ (non)uniqueness of critical points in variational data assimilation

Cites Work

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• Existence and uniqueness of a solution for a two dimensional nonlinear inverse diffusion problem
• Existence and uniqueness of solutions for a degenerate quasilinear parabolic problem
• An Inverse Problem for a Nonlinear Diffusion Equation
• Monotonicity and Uniqueness Results in Identifying an Unknown Coefficient in a Nonlinear Diffusion Equation
• An adjoint problem approach and coarse-fine mesh method for identification of the diffusion coefficient in a linear parabolic equation

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