-regularity results for quasilinear parabolic systems
Alain Bensoussan, Jens Frehse (1990)
Commentationes Mathematicae Universitatis Carolinae
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Alain Bensoussan, Jens Frehse (1990)
Commentationes Mathematicae Universitatis Carolinae
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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.
E. A. Kalita (1994)
Commentationes Mathematicae Universitatis Carolinae
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Non-linear second order parabolic systems in the divergent form are considered. It is proved that under some restrictions on the modulus of ellipticity, all weak solutions are continuous.
Michael Struwe (1984)
Czechoslovak Mathematical Journal
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