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On the existence of initial values of solutions of weakly nonlinear parabolic equations

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Abstract

We study the properties of solutions of weakly nonlinear parabolic equations in cylindrical domains. The existence conditions are established for local nontangential limits as t → 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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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 11, pp. 1567–1570, November, 1993.

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Skrypnik, I.I. On the existence of initial values of solutions of weakly nonlinear parabolic equations. Ukr Math J 45, 1762–1766 (1993). https://doi.org/10.1007/BF01060864

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  • DOI: https://doi.org/10.1007/BF01060864

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