On regularity of solutions of nonlinear parabolic systems
Jindřich Nečas, Vladimír Šverák (1991)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Jindřich Nečas, Vladimír Šverák (1991)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Ivanov, Alexander V.
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Michael Struwe (1984)
Czechoslovak Mathematical Journal
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D. G. Aronson, James Serrin (1967)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Arina Arkhipova (2008)
Banach Center Publications
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We consider nondiagonal elliptic and parabolic systems of equations with quadratic nonlinearities in the gradient. We discuss a new description of regular points of solutions of such systems. For a class of strongly nonlinear parabolic systems, we estimate locally the Hölder norm of a solution. Instead of smallness of the oscillation, we assume local smallness of the Campanato seminorm of the solution under consideration. Theorems about quasireverse Hölder inequalities proved by the...