Boundary estimates for solutions of nonlinear degenerate parabolic systems.

Chen Ya-Zhe; Emmanuelle Di Benedetto

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Displaying similar documents to “Boundary estimates for solutions of nonlinear degenerate parabolic systems.”

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Arina Arkhipova (2008)

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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...

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Vincenzo Vespri (1993)

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Full regularity of bounded solutions to nondiagonal parabolic systems of two equations

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Hölder continuity and, basing on this, full regularity and global existence of weak solutions is studied for a general nondiagonal parabolic system of nonlinear differential equations with the matrix of coefficients satisfying special structure conditions and depending on the unknowns. A technique based on estimating a certain function of unknowns is employed to this end.