Open AccessOn some classes of inverse problems with point overdirection for mathematical models of heat and mass transfer
Author(s) -
Vladislav A. Baranchuk,
S. G. Pyatkov
Publication year - 2021
Publication title -
vestnik ûgorskogo gosudarstvennogo universiteta
Language(s) - English
Resource type - Journals
eISSN - 2078-9114
pISSN - 1816-9228
DOI - 10.17816/byusu2020336-46
Subject(s) - correctness , sobolev space , inverse problem , mathematics , function (biology) , inverse , boundary value problem , boundary (topology) , point (geometry) , set (abstract data type) , mass transfer , mathematical analysis , computer science , physics , algorithm , geometry , thermodynamics , evolutionary biology , biology , programming language
The paper considers the question of the correctness in Sobolev spaces of inverse problems of recovering the function of sources of a special form for mathematical models of convection-diffusion and heat and mass transfer. Unknown time-dependent functions are included in the source function. The values of the solution in a certain set of points of the region lying both inside the region and on its boundary are considered as conditions for redefining. Conditions are given that guarantee the global correctness of the problem in Sobolev classes. The conditions for these tasks are minimal. The results are accurate.