We study a class of two-phase inhomogeneous free boundary problems governed by elliptic equations in divergence form. In particular we prove that Lipschitz or flat free boundaries are C^(1,gamma). Our results apply to the classical Prandtl–Bachelor model in fluiddynamics.
Regularity of the free boundary for two-phase problems governed by divergence form equations and applications / De Silva, Daniela; Ferrari, Fausto; Salsa, Sandro. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - STAMPA. - 138:(2016), pp. 3-30. [10.1016/j.na.2015.11.013]
Regularity of the free boundary for two-phase problems governed by divergence form equations and applications
FERRARI, FAUSTO;
2016
Abstract
We study a class of two-phase inhomogeneous free boundary problems governed by elliptic equations in divergence form. In particular we prove that Lipschitz or flat free boundaries are C^(1,gamma). Our results apply to the classical Prandtl–Bachelor model in fluiddynamics.File in questo prodotto:
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