UNIQUENESS IN A CAUCHY PROBLEM FOR REACTION–DIFFUSION SYSTEM AND INVERSE SOURCE PROBLEMS IN WATER POLLUTION

DOI10.1142/S0218202512500297zbMath1251.35185OpenAlexW1998477327MaRDI QIDQ3166767

Faker Ben Belgacem

Publication date: 15 October 2012

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

Full work available at URL: https://doi.org/10.1142/s0218202512500297

zbMATH Keywords

ill-posednessdissolved oxygenparabolic systemdata completionsaddle point theorybiochemical oxygen demandpazy's uniqueness theorempointwise sources identifiability

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30)

Related Items (1)

A finite element method for the inverse problem of boundary data recovery in an oxygen balance model

Cites Work

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• Generalized Inf-Sup Conditions for Chebyshev Spectral Approximation of the Stokes Problem
• Mixed and Hybrid Finite Element Methods
• Mixed spectral element approximation of the Navier-Stokes equations in the stream-function and vorticity formulation
• The recovery of a time-dependent point source in a linear transport equation: application to surface water pollution
• Inverse source problem in an advection–dispersion–reaction system: application to water pollution

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