@UNPUBLISHED{publication1, title = "Sharp regularity for a singular fully nonlinear parabolic free boundary problem", author = "{ARA{\'{U}}JO, Dami{\~{a}}o J.} and {S{\'{A}}, Ginaldo S.} and {URBANO, Jos{\'{e}} Miguel}", year = "2023-04-19", abstract = "

This paper establishes sharp local regularity estimates for viscosity solutions of fully nonlinear parabolic free boundary problems with singular absorption terms. The main difficulties are due to the blow-up of the source along the free boundary and the lack of a variational structure. The proof combines the power of the Ishii-Lions method with intrinsically parabolic oscillation estimates. The results are new, even for second-order linear operators in nondivergence form.\ 

", url = "http://www.mat.uc.pt/preprints/eng\_2023.html", note = "" }