Sharp regularity for a singular fully nonlinear parabolic free boundary problem (Preprint)

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Type: Preprint
National /International: International
Title: Sharp regularity for a singular fully nonlinear parabolic free boundary problem
Publication Date: 2023-04-19
Authors: - Damião J. Araújo
- Ginaldo S. Sá
- José Miguel Urbano
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. 

Institution: DMUC 23-11
Online version: http://www.mat.uc.pt...prints/eng_2023.html
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