Abstract
A uniqueness theorem is formulated for a coefficient inverse problem in thermal conduction.
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O. M. Alifanov, Identifying Heat-Transfer Processes for Flying Vehicles: An Introduction to the Theory of Inverse Heat-Transfer Problems [in Russian], Mashinostroenie, Moscow (1979).
A. M. Denisov and S. P. Tuikina, “Approximate solution of an inverse problem in sorption dynamics,” Vestn. Mosk. Gos. Univ. Vychisl. Mat. Kib., No. 3, 27–31 (1983).
N. V. Muzylev, “Uniqueness in the simultaneous thermal-conduction and specific-heat coefficient,” Zh. Vychis. Mat. Mat. Fiz.,23, No. 1, 102–108 (1983).
N. V. Muzylev, “A condition fora priori monotone behavior in a heat flux and a boundary,” Zh. Vychisl. Mat. Mat. Fiz.,24, No. 2, 287–294 (1984).
A. L. Bukhgeim and M. V. Klibanov, “Uniqueness in the large for a class of multidimensional inverse problems,” Dokl. Akad. Nauk SSSR,260, No. 2, 269–272 (1984).
M. V. Klibanov, “Inverse problems in the large and Karleman estimators,” Diff. Uravnen.,20, No. 6, 1035–1041 (1984).
M. V. Klibanov, “Uniqueness in the large for inverse problems for one class of differential equations,” Diff. Uravnen.,20, No. 11, 1947–1953 (1984).
A. L. Bukhgeim, Volterra Equations and Inverse Problems [in Russian], Nauka, Novosibirsk (1983).
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 49, No. 6, pp. 1006–1009, December, 1985.
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Klibanov, M.V. A uniqueness theorem for a class of inverse thermal-conduction problems involving temperature measurements at internal points. Journal of Engineering Physics 49, 1484–1486 (1985). https://doi.org/10.1007/BF00871306
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DOI: https://doi.org/10.1007/BF00871306