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Limiting behavior of the solutions to linear second-order parabolic equations

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Ukrainian Mathematical Journal Aims and scope

Abstract

We study the properties of solutions to parabolic equations in smooth cylindrical domains and establish the conditions for the existence of limiting nontangents andL 2-limits ast → 0.

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Authors and Affiliations

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

    I. I. Skrypnik

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  1. I. I. Skrypnik
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 7, pp. 1029–1038, July, 1993.

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Skrypnik, I.I. Limiting behavior of the solutions to linear second-order parabolic equations. Ukr Math J 45, 1145–1157 (1993). https://doi.org/10.1007/BF01057460

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  • DOI: https://doi.org/10.1007/BF01057460

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