Doklady Mathematics

, Volume 98, Issue 3, pp 579–581 | Cite as

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

  • E. A. BaderkoEmail author
  • M. F. Cherepova


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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Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.Faculty of Mechanics and MathematicsMoscow State UniversityMoscowRussia
  2. 2.National Research University “Moscow Power Engineering Institute” (MPEI)MoscowRussia

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