A Regularity Result for Nonlinear Elliptic Systems.
Jens Frehse (1971)
Mathematische Zeitschrift
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Displaying similar documents to “Global Regularity of Solutions of Nonlinear Second Order Elliptic and Parabolic Differential Equations.”
A Regularity Result for Nonlinear Elliptic Systems.
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Oblique boundary value problems for nonlinear parabolic equations
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Stabilization of solutions of a nonlinear parabolic equation with a gradient term.
Keng Deng (1994)
Mathematische Zeitschrift
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Changchun Liu (2013)
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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.
Quasilinear Elliptic-Parabolic Differentail Equations.
Hans W. Alt, Stephan Luckhaus (1983)
Mathematische Zeitschrift
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𝒞1,β regularity for Dirichlet problems associated to fully nonlinear degenerate elliptic equations
I. Birindelli, F. Demengel (2014)
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We prove Hölder regularity of the gradient, up to the boundary for solutions of some fully-nonlinear, degenerate elliptic equations, with degeneracy coming from the gradient.
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L.A. Peletier, B. Kawohl (1989)
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Jens Frehse (1973)
Mathematische Zeitschrift
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Finite Element Variational Crimes in Parabolic-Elliptic Problems. Part I. Nonlinear Schemes.
Alexander Zenisek (1987)
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-estimates for nonlinear parabolic equations with natural growth conditions
Vincenzo Vespri (1993)
Rendiconti del Seminario Matematico della Università di Padova
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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.