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.
Daniela De Silva, Fausto Ferrari, Sandro Salsa (2014). Two-phase problems with distributed sources: regularity of the free boundary. ANALYSIS & PDE, 7(2), 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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