Local solvability of diagonal semilinear parabolic systems
Tomasz Dłotko (1991)
Czechoslovak Mathematical Journal
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Tomasz Dłotko (1991)
Czechoslovak Mathematical Journal
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Annales de l'I.H.P. Analyse non linéaire
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Commentationes Mathematicae Universitatis Carolinae
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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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