Geodesic
Continuity for bounded solutions of multiphase Stefan problem
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 5 (1994) no. 4, pp. 297-302.

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

We establish the continuity of bounded local solutions of the equation \( \beta (u)_{t} = \Delta u \). Here \( \beta \) is any coercive maximal monotone graph in \( \mathbb{R} \times \mathbb{R} \), 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.
In questa Nota si dimostra la continuità delle soluzioni locali limitate dell'equazione \( \beta (u)_{t} = \Delta u \), dove \( \beta \) è un qualsiasi grafo massimale monotono e coercivo in \( \mathbb{R} \times \mathbb{R} \), che si mantiene limitato per valori limitati del suo argomento. A questo contesto appartengono sia il problema di Stefan multifase che il modello di Buckley-Leverett di due fluidi immiscibili in un mezzo poroso. 
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DiBenedetto, Emmanuele; Vespri, Vincenzo. Continuity for bounded solutions of multiphase Stefan problem. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 5 (1994) no. 4, pp. 297-302. http://geodesic.mathdoc.fr/item/RLIN_1994_9_5_4_a2/

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