Local solvability of diagonal semilinear parabolic systems
Tomasz Dłotko (1991)
Czechoslovak Mathematical Journal
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Displaying similar documents to “Peano type theorem for abstract parabolic equations”
Local solvability of diagonal semilinear parabolic systems
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E Acerbi, G Mingione, G. A. Seregin (2004)
Annales de l'I.H.P. Analyse non linéaire
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Existence of a classical solution for linear parabolic systems of nondivergence form
Masashi Misawa (2004)
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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Explicit exponential decay bounds in quasilinear parabolic problems.
Philippin, G.A., Vernier Piro, S. (1999)
Journal of Inequalities and Applications [electronic only]
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