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Uniqueness of Solution to the First Initial Boundary Value Problem for Parabolic Systems on the Plane in a Model Case

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Abstract

The first initial boundary value problem for a one-dimensional (in x) Petrovskii parabolic second-order system with constant coefficients in a semibounded (in x) domain with a nonsmooth lateral boundary is proved to have a unique classical solution in certain Hölder classes.

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Author information

Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Moscow State University, Moscow, 119992, Russia

    E. A. Baderko

  2. National Research University “Moscow Power Engineering Institute” (MPEI), Moscow, 111250, Russia

    M. F. Cherepova

Authors
  1. E. A. Baderko
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  2. M. F. Cherepova
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Corresponding author

Correspondence to E. A. Baderko.

Additional information

Original Russian Text © E.A. Baderko, M.F. Cherepova, 2018, published in Doklady Akademii Nauk, 2018, Vol. 483, No. 3.

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Baderko, E.A., Cherepova, M.F. Uniqueness of Solution to the First Initial Boundary Value Problem for Parabolic Systems on the Plane in a Model Case. Dokl. Math. 98, 579–581 (2018). https://doi.org/10.1134/S1064562418070128

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  • DOI: https://doi.org/10.1134/S1064562418070128

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