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Space average in parabolic equations

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Abstract

We find an explicit formula for the limit of a solution of the Cauchy problem, when space averages of coefficients of a parabolic second order partial differential equation of a special type exist.

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 44, No. 4, pp. 561–564, April, 1992.

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Kulinich, G.L., Mynbaeva, M.U. Space average in parabolic equations. Ukr Math J 44, 501–504 (1992). https://doi.org/10.1007/BF01064885

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  • DOI: https://doi.org/10.1007/BF01064885

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