Uniqueness of a solution to the Cauchy problem for parabolic systems


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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.

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E. Baderko

Faculty of Mechanics and Mathematics

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Email: baderko.ea@yandex.ru
俄罗斯联邦, Moscow, 119992

M. Cherepova

National Research University “Moscow Power Engineering Institute” (MPEI)

Email: baderko.ea@yandex.ru
俄罗斯联邦, ul. Krasnokazarmennaya 14, Moscow, 111250

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