The first initial-boundary value problem for quasilinear second order parabolic equations
Gary M. Lieberman (1986)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Gary M. Lieberman (1986)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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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.
Charles S. Kahane (1983)
Czechoslovak Mathematical Journal
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Liang, Fei-Tsen (2004)
International Journal of Mathematics and Mathematical Sciences
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