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Hölder estimates for nonlinear degenerate parabolic sytems.

Avner Friedman; Emmanuele DiBenedetto — 1985

Journal für die reine und angewandte Mathematik

Continuity for bounded solutions of multiphase Stefan problem

Emmanuele DiBenedetto; Vincenzo Vespri — 1994

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

We establish the continuity of bounded local solutions of the equation $β {(u)}_{t} = Δ u$ . Here $β$ is any coercive maximal monotone graph in $R \times R$ , bounded for bounded values of its argument. The multiphase Stefan problem and the Buckley-Leverett model of two immiscible fluids in a porous medium give rise to such singular equations.

Harnack's estimates: positivity and local behavior of degenerate and singular parabolic equations.

DiBenedetto, Emmanuele; Gianazza, Ugo; Safonov, Mikhail; Urbano, José Miguel; Vespri, Vincenzo — 2007

Boundary Value Problems [electronic only]

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Currently displaying 1 – 3 of 3

Hölder estimates for nonlinear degenerate parabolic sytems.

Continuity for bounded solutions of multiphase Stefan problem

Harnack's estimates: positivity and local behavior of degenerate and singular parabolic equations.