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math.AP2024
Fabes-Stroock approach to higher integrability of Green's functions and ABP estimates with drift
Pilgyu Jung, Kwan Woo
We explore the higher integrability of Green's functions associated with the second-order elliptic equation in a bounded domain $Ω\subset \mathbb{R}^…
math.AP2024
-estimates for parabolic equations in divergence form with a half-time derivative
Pilgyu Jung, Doyoon Kim
We establish the unique solvability of solutions in Sobolev spaces to linear parabolic equations in a more general form than those in the literature. A distinguishing feature of ou…