Identification of a boundary condition in the heat and mass transfer problems

S. G. Pyatkov ; V. A. Baranchuk

Čelâbinskij fiziko-matematičeskij žurnal, Tome 7 (2022) no. 2, pp. 234-253.

Résumé

We consider well-posedness in Sobolev spaces of inverse problems of recovering a function occurring in the Robin boundary condition in the parabolic case. The existence and uniqueness theorem are exhibited. The proof relies on a priori estimates obtained and the method of continuation in a parameter. The method is constructive and the approach allows to develop numerical methods for solving the problem.

Détail

Keywords: inverse problem, heat and mass transfer, parabolic equation, Robin boundary condition.

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