Regularity for doubly nonlinear parabolic equations
Ivanov, Alexander V.
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Displaying similar documents to “Harnack estimates for weak supersolutions to nonlinear degenerate parabolic equations”
Regularity for doubly nonlinear parabolic equations
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A generalization of the well-known weak maximum principle is established for a class of quasilinear strongly coupled parabolic systems with leading terms of p-Laplacian type.
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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.
-estimates for nonlinear parabolic equations with natural growth conditions
Vincenzo Vespri (1993)
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Regularity of solutions for a sixth order nonlinear parabolic equation in two space dimensions
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.