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Boundary values of solutions of second-order linear parabolic equations

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Ukrainian Mathematical Journal Aims and scope

Abstract

The local properties of the solutions of parabolic equations are investigated in domains whose boundaries are defined by the difference of two convex functions. Conditions for the existence of nontangential boundary and L2 limits are established.

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Literature cited

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Authors and Affiliations

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

    I. I. Skrypnik

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  1. I. I. Skrypnik
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 44, No. 10, pp. 1433–1440, October, 1992.

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Skrypnik, I.I. Boundary values of solutions of second-order linear parabolic equations. Ukr Math J 44, 1317–1325 (1992). https://doi.org/10.1007/BF01057691

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  • DOI: https://doi.org/10.1007/BF01057691

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