Hongjie Dong

collaborators

3 papers

math.PR2026

Remarks on the convex integration technique applied to singular stochastic partial differential equations

Hongjie Dong, Kazuo Yamazaki

Singular stochastic partial differential equations informally refer to the partial differential equations with rough random force that leads to the products in the nonlinear terms…

math.AP2025

$L_{p}$ -estimates for nonlocal equations with general LÃ©vy measures

Hongjie Dong, Junhee Ryu

We consider nonlocal operators of the form \begin{equation*} L_t u(x) = \int_{\mathbb{R}^d} \left( u(x+y)-u(x)-\nabla u(x)\cdot y^{(Ï)} \right) Î½_t(dy), \end{equation*} where $Î½…

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…

Remarks on the convex integration technique applied to singular stochastic partial differential equations

Lp​-estimates for nonlocal equations with general LÃ©vy measures

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

$L_{p}$ -estimates for nonlocal equations with general LÃ©vy measures

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