Doyoon Kim

collaborators

2 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.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

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

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