-regularity results for quasilinear parabolic systems
Alain Bensoussan, Jens Frehse (1990)
Commentationes Mathematicae Universitatis Carolinae
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Displaying similar documents to “A priori estimates for quasilinear parabolic systems with quadratic nonlinearities in the gradient”
-regularity results for quasilinear parabolic systems
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.
On the Hölder continuity of solutions of nonlinear parabolic systems
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.