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.
De Silva, D., Ferrari, F., Salsa, S. (2016). Regularity of the free boundary for two-phase problems governed by divergence form equations and applications. NONLINEAR ANALYSIS, 138, 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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