Determination of the non-linear reaction term in a coupled reaction-diffusion system

DOI10.1080/01630560008816968zbMath0999.35104OpenAlexW2028591498MaRDI QIDQ4508647

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Publication date: 6 February 2001

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560008816968

zbMATH Keywords

convergenceiterative methodoverspecified Dirichlet data

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Fixed-point theorems (47H10) Inverse problems for PDEs (35R30) Applications of operator theory to differential and integral equations (47N20)

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Cites Work

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• Unicity in an inverse problem for an unknown reaction term in a reaction- diffusion equation
• Global Existence for Semilinear Parabolic Systems
• An Inverse problem for a nonlinear parabolic equation
• Fixed point methods for a nonlinear parabolic inverse coefficient problem
• Global Existence and Boundedness in Reaction-Diffusion Systems
• Uniqueness theorems for some converse problems of heat conduction
• Tikhonov regularization for an inverse source problem for a coupled system of reaction-diffusion equations
• Determination of the source term in the heat conduction equation

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