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math.AP2024
A fully nonlinear transmission problem degenerating on the interface
Davide Giovagnoli, David Jesus
In this paper we prove that solutions to a transmission problem degenerating on the interface are Hölder differentiable up to the interface with universal estimates. Furthermore, w…
math.AP2024
Free boundary regularity for the inhomogeneous one-phase Stefan problem
Fausto Ferrari, Nicolò Forcillo, Davide Giovagnoli +1
In this paper, we prove that flat free boundaries of solutions to inhomogeneous one-phase Stefan problem are . The method consists of employing a hodograph transform and d…