On Quasilinear Parabolic Systems.
Paolo Acquistapace, Brunello Terreni (1988)
Mathematische Annalen
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Displaying similar documents to “Local Existence and Regularity for a Class of Degenerate Parabolic Equations.”
On Quasilinear Parabolic Systems.
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Changchun Liu (2013)
Annales Polonici Mathematici
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We consider an initial-boundary problem for a sixth order nonlinear parabolic equation, which arises in oil-water-surfactant mixtures. Using Schauder type estimates and Campanato spaces, we prove the global existence of classical solutions for the problem in two space dimensions.
A degenerate parabolic equation in noncylindrical domains.
M. Bertsch, R. Dal Passo, B. Franchi (1992)
Mathematische Annalen
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Full regularity of bounded solutions to nondiagonal parabolic systems of two equations
Dmitry Portnyagin (2008)
Applicationes Mathematicae
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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.
Extension of a result of Ladyženskaja and Uralceva concerning second-order parabolic equations of arbitrary order
Wolf von Wahl (1983)
Annales Polonici Mathematici
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