# Article

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Keywords:
linear parabolic system; nondivergence; nondiagonal form; $L^{\infty }$-estimate; \newline Schauder estimate
Summary:
We prove the unique existence of a classical solution for a linear parabolic system of nondivergence and nondiagonal form. The key ingredient is to combine the energy estimates with Schauder estimates and to obtain a uniform boundedness of a solution.
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