Geodesic
Determination of the Heat Transfer Coefficient in Mathematical Models of Heat and Mass Transfer
Matematičeskie zametki, Tome 113 (2023) no. 1, pp. 90-108

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We study the Sobolev space well-posedness of inverse problems of determining the heat transfer coefficient contained in a Robin-type boundary condition for the convection-diffusion equations. We prove an existence and uniqueness theorem for the solutions.
Keywords: inverse problem, heat and mass transfer
Mots-clés : heat transfer coefficient, parabolic equation, diffusion. 
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     author = {S. G. Pyatkov and V. A. Baranchuk},
     title = {Determination of the {Heat} {Transfer} {Coefficient} in {Mathematical} {Models} of {Heat} and {Mass} {Transfer}},
     journal = {Matemati\v{c}eskie zametki},
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S. G. Pyatkov; V. A. Baranchuk. Determination of the Heat Transfer Coefficient in Mathematical Models of Heat and Mass Transfer. Matematičeskie zametki, Tome 113 (2023) no. 1, pp. 90-108. http://geodesic.mathdoc.fr/item/MZM_2023_113_1_a7/