Uniqueness of Solution to the First Initial Boundary Value Problem for Parabolic Systems on the Plane in a Model Case |
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| Authors: | E A Baderko M F Cherepova |
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| Institution: | 1.Faculty of Mechanics and Mathematics,Moscow State University,Moscow,Russia;2.National Research University “Moscow Power Engineering Institute” (MPEI),Moscow,Russia |
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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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