A counterexample in regularity theory for parabolic systems
Michael Struwe (1984)
Czechoslovak Mathematical Journal
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Displaying similar documents to “-regularity results for quasilinear parabolic systems”
A counterexample in regularity theory for parabolic systems
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.
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.
A priori estimates for quasilinear parabolic systems with quadratic nonlinearities in the gradient
Arina A. Arkhipova, Jana Stará (2010)
Commentationes Mathematicae Universitatis Carolinae
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We derive local a priori estimates of the Hölder norm of solutions to quasilinear elliptic systems with quadratic nonlinearities in the gradient. We assume higher integrability of solutions and smallness of its BMO norm but the Hölder norm is estimated in terms of BMO norm of the solution under consideration, only.