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<p>Inverse problems of recovering heat transfer coefficient at the interface from integral measurements are considered. The heat transfer coefficient occurs in the transmission conditions of imperfect contact type. It is representable as a finite part of the Fourier series with time dependent coefficients. The additional measurements are integrals with weight of a solution. Existence and uniqueness of solutions in Sobolev classes are proved and the conditions on the data are sharp. The proof relies on a priori estimates and the contraction mapping principle. Bibliography&#xa0;:&#xa0; 15 titles.</p>

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IDENTIFICATION OF THE INTERFACE HEAT TRANSFER COEFFICIENT IN STRATIFIED MEDIA FROM INTEGRAL MEASUREMENTS

  • 期刊论文

  • 发表日期：

    2026年5月26日

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  • S. Pyatkov,
  • S. Shergin

摘要

Inverse problems of recovering heat transfer coefficient at the interface from integral measurements are considered. The heat transfer coefficient occurs in the transmission conditions of imperfect contact type. It is representable as a finite part of the Fourier series with time dependent coefficients. The additional measurements are integrals with weight of a solution. Existence and uniqueness of solutions in Sobolev classes are proved and the conditions on the data are sharp. The proof relies on a priori estimates and the contraction mapping principle. Bibliography :  15 titles.