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On one homogeneous problem for the heat equation in an infinite angular domain

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Abstract

We prove that the operator of a boundary value problem of heat conduction in an infinite angular domain is Noetherian with index −1 in the class of growing functions.

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Correspondence to M. M. Amangalieva or M. I. Ramazanov.

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Original Russian Text Copyright © 2015 Amangalieva M.M., Dzhenaliev M.T., Kosmakova M.T., and Ramazanov M.I.

Almaty. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 56, No. 6, pp. 1234–1248, November–December, 2015; DOI: 10.17377/smzh.2015.56.603.

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Amangalieva, M.M., Dzhenaliev, M.T., Kosmakova, M.T. et al. On one homogeneous problem for the heat equation in an infinite angular domain. Sib Math J 56, 982–995 (2015). https://doi.org/10.1134/S0037446615060038

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  • DOI: https://doi.org/10.1134/S0037446615060038

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