We investigate the regularity of the free boundary for a general class of two-phase free boundary problems with nonzero right-hand side. We prove that Lipschitz or flat free boundaries are C1,γ. In particular, viscosity solutions are indeed classical.
Two-phase problems with distributed sources: regularity of the free boundary / Daniela De Silva; Fausto Ferrari; Sandro Salsa. - In: ANALYSIS & PDE. - ISSN 1948-206X. - STAMPA. - 7:2(2014), pp. 267-310. [10.2140/apde.2014.7.267]
Two-phase problems with distributed sources: regularity of the free boundary
FERRARI, FAUSTO;
2014
Abstract
We investigate the regularity of the free boundary for a general class of two-phase free boundary problems with nonzero right-hand side. We prove that Lipschitz or flat free boundaries are C1,γ. In particular, viscosity solutions are indeed classical.File in questo prodotto:
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