Pilgyu Jung

collaborators

3 papers

math.AP2025

$L_{p}$ -estimates of the conormal derivative problem for parabolic equations with time measurable coefficients and $A_{p}$ -weights

Hongjie Dong, Pilgyu Jung, Doyoon Kim

This paper investigates weighted mixed-norm estimates for divergence-type parabolic equations on Reifenberg-flat domains with the conormal derivative boundary condition. The leadin…

math.AP2025

Fabes-Stroock approach to higher integrability of Green's functions and ABP estimates with $L_{d}$ drift

Pilgyu Jung, Kwan Woo

We explore the higher integrability of Green's functions associated with the second-order elliptic equation $a^{ij} D_{ij} u + b^{i} D_{i} u = f$ in a bounded domain $Î©\subset \mathbb{R}…

math.AP2024

$L_{p}$ -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…

Lp​-estimates of the conormal derivative problem for parabolic equations with time measurable coefficients and Ap​-weights

Fabes-Stroock approach to higher integrability of Green's functions and ABP estimates with Ld​ drift

Lp​-estimates for parabolic equations in divergence form with a half-time derivative

$L_{p}$ -estimates of the conormal derivative problem for parabolic equations with time measurable coefficients and $A_{p}$ -weights

Fabes-Stroock approach to higher integrability of Green's functions and ABP estimates with $L_{d}$ drift

$L_{p}$ -estimates for parabolic equations in divergence form with a half-time derivative