In this paper, we prove that flat free boundaries of solutions of the inhomogeneous one-phase Stefan problem are C1,α. The method consists of employing a hodograph transform and deriving the regularity via a linearization technique, following the approach introduced by De Silva, Forcillo, and Savin in [D. De Silva, N. Forcillo and O. Savin, Perturbative estimates for the one-phase Stefan problem, Calc. Var. Partial Differential Equations 60(6) (2021) 219].
Ferrari, F., Forcillo, N., Giovagnoli, D., Jesus, D. (2026). Free boundary regularity for the inhomogeneous one-phase Stefan problem. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, da assegnare, 1-30 [10.1142/S0219199726500483].
Free boundary regularity for the inhomogeneous one-phase Stefan problem
Ferrari F.
;Giovagnoli D.;
2026
Abstract
In this paper, we prove that flat free boundaries of solutions of the inhomogeneous one-phase Stefan problem are C1,α. The method consists of employing a hodograph transform and deriving the regularity via a linearization technique, following the approach introduced by De Silva, Forcillo, and Savin in [D. De Silva, N. Forcillo and O. Savin, Perturbative estimates for the one-phase Stefan problem, Calc. Var. Partial Differential Equations 60(6) (2021) 219].I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
