Uniqueness of a Solution to the Cauchy Problem
for Parabolic Systems

E. A. Baderko^a and M. F. Cherepova^b

Presented by Academician of the RAS E.I. Moiseev November 2, 2015

Received November 10, 2015

Abstract—The Cauchy problem for a second-order Petrovskii parabolic system with bounded and continuous
coefficients that are Dini-continuous with respect to space variables is proved to have a unique classical solution
in the Tikhonov class.

DOI: 10.1134/S1064562416030261

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