We consider the inverse problem of recovering the heat transfer coefficient represented as a finite segment of the Fourier series with coefficients depending on time. The overdetermination data are taken in the form of integrals of a solution with weights over a space domain. We prove that a solution to the problem is uniquely determined and continuously depends on the data.
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International Mathematical Schools. Vol. 3. Mathematical Schools in Uzbekistan. In Memory of M. S. Salakhitdinov
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Pyatkov, S., Soldatov, O. & Fayazov, K. Inverse Problems of Recovering the Heat Transfer Coefficient with Integral Data. J Math Sci 274, 255–268 (2023). https://doi.org/10.1007/s10958-023-06593-w
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DOI: https://doi.org/10.1007/s10958-023-06593-w