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

E. A. Baderko^a^,* and M. F. Cherepova^b^,**
Translated by I. Ruzanova

^aFaculty of Mechanics and Mathematics, Moscow State University, Moscow, 119992 Russia

^bNational Research University “Moscow Power Engineering Institute” (MPEI), Moscow, 111250 Russia

Correspondence to: *e-mail: baderko.ea@yandex.ru
Correspondence to: **e-mail: cherepovaMF@mpei.ru

Received 15 June, 2018

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.

DOI: 10.1134/S1064562418070128