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On -estimates for solutions of obstacle problems for fully nonlinear elliptic equations with oblique boundary conditions
Sun-Sig Byun, Jeongmin Han, Jehan Oh
This paper concerns fully nonlinear elliptic obstacle problems with oblique boundary conditions. We investigate the existence, uniqueness and -regularity results by findin…
-estimates for the Hessians of solutions to fully nonlinear parabolic equations with oblique boundary conditions
Sun-Sig Byun, Jeongmin Han
We study fully nonlinear parabolic equations in nondivergence form with oblique boundary conditions. An optimal and global Calderón-Zygmund estimate is obtained by proving that the…
Time-dependent tug-of-war games and normalized parabolic -Laplace equations
Jeongmin Han
This paper concerns value functions of time-dependent tug-of-war games. We first prove the existence and uniqueness of value functions and verify that these game values satisfy a d…
Local Lipschitz regularity for functions satisfying a time-dependent dynamic programming principle
Jeongmin Han
We prove in this article that functions satisfying a dynamic programming principle have a local interior Lipschitz type regularity. This DPP is partly motivated by the connection t…