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Contact Problem for Second Order Parabolic Systems in a Strip with a Nonsmooth Interface Curve

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Abstract

We prove the existence of a classical solution of the contact problem for Petrovskii parabolic systems of the second order with Dini continuous coefficients in a strip separated into two domains by a nonsmooth curve.

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ACKNOWLEDGMENTS

The author expresses his gratitude to Prof. E.A. Baderko for posing the problem and for constant attention to this work.

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Authors and Affiliations

  1. Lomonosov Moscow State University, Moscow, 119991, Russia

    S. I. Sakharov

  2. Moscow Center for Fundamental and Applied Mathematics, Moscow, 119991, Russia

    S. I. Sakharov

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  1. S. I. Sakharov
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Correspondence to S. I. Sakharov.

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Translated by V. Potapchouck

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Sakharov, S.I. Contact Problem for Second Order Parabolic Systems in a Strip with a Nonsmooth Interface Curve. Diff Equat 57, 476–487 (2021). https://doi.org/10.1134/S0012266121040054

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  • DOI: https://doi.org/10.1134/S0012266121040054

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