3 citations · 9 across the 9 of their papers we have counts for
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math.AP2014
Estimates on parabolic equations that hold only where the space-time gradient is large
Soojung Kim
We study the Krylov-Safonov type Hölder estimate and Harnack inequality for viscosity solutions satisfying a uniformly parabolic equation only where the gradient with respect to th…
math.AP2014
Regularity for fully nonlinear integro-differential operators with regularly varying kernels
Soojung Kim, Yong-Cheol Kim, Ki-Ahm Lee
In this paper, the regularity results for the integro-differential operators of the fractional Laplacian type by Caffarelli and Silvestre \cite{CS1} are extended to those for the i…
math.AP2014
Second derivative estimates for uniformly elliptic operators on Riemannian manifolds
Soojung Kim
In this paper, we obtain a uniform -estimate of solutions to the fully nonlinear uniformly elliptic equations on Riemannian manifolds with a lower bound of secti…