Identification of heat transfer coefficient from boundary integral measurement
https://doi.org/10.25587/2411-9326-2025-3-82-94
Abstract
In this article we examine in Sobolev spaces well-posedness questions of inverse problems of recovering the heat transfer coefficient from a collection of integrals of a flux with weight over the boundary. Under some conditions we demonstrate that a unique solution to the problem exists locally in time and depends continuously on the data. The method is constructive and the proposed approach allows us to construct new numerical methods for determining a solution. The proof employs a priori bounds and the contraction mapping principle.
About the Author
O. A. Soldatov
Yugra State University
Russian Federation
Russian Federation
Oleg A. Soldatov
16 Chekhov Street, 628012 Khanty-Mansiisk
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Review
For citations:
Soldatov O.A. Identification of heat transfer coefficient from boundary integral measurement. Mathematical notes of NEFU. 2025;32(3):82-94. (In Russ.) https://doi.org/10.25587/2411-9326-2025-3-82-94
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