3 papers
math.AP2025
Regularity for fully nonlinear degenerate parabolic equations with strong absorption
João Vitor da Silva, Feida Jiang, Jiangwen Wang
In this paper, we investigate dead-core problems for fully nonlinear degenerate parabolic equations with strong absorption, \begin{equation*} |Du|^{p} F(D^{2}u) - u_{t} = λ_{0}(x,t…
math.AP2024
Universal regularity estimates for solutions to fully nonlinear elliptic equations with oblique boundary data
Junior da S. Bessa, João Vitor da Silva, Gleydson C. Ricarte
In this work, we establish universal moduli of continuity for viscosity solutions to fully nonlinear elliptic equations with oblique boundary conditions, whose general model is giv…
math.AP2023
Schauder and Calderón-Zygmund type estimates for fully nonlinear parabolic equations under "small ellipticity aperture" and applications
João Vitor da Silva, Makson S. Santos
In this manuscript, we derive Schauder estimates for viscosity solutions to non-convex fully nonlinear second-order parabolic equations \[ \partial_t u - F(x, t,D^2u) = f (x, t) \q…