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G-convergence of parabolic operators and weak convergence of solutions of diffusion equations

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Abstract

The relationship between theG-convergence of parabolic operators and the weak convergence of solutions of diffusion equations is established. Constructive conditions are obtained for determining coefficients of aG-limiting operator.

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Authors and Affiliations

  1. Institute of Applied Mathematics and Mechanics, Ukrainian Academy of Sciences, Donetsk

    S. Ya. Makhno

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  1. S. Ya. Makhno
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 11, pp. 1534–1541, November, 1993.

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Makhno, S.Y. G-convergence of parabolic operators and weak convergence of solutions of diffusion equations. Ukr Math J 45, 1727–1735 (1993). https://doi.org/10.1007/BF01060862

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  • DOI: https://doi.org/10.1007/BF01060862

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