Publications (76)
Global regularity of weak solutions to quasilinear elliptic and parabolic equations with controlled growth
Hongjie Dong, Doyoon Kim
On $L_p$-estimates for elliptic and parabolic equations with $A_p$ weights
Hongjie Dong, Doyoon Kim
Second-order elliptic and parabolic equations with $B(\mathbb R^{2}, VMO)$ coefficients
Hongjie Dong, N. V. Krylov
The Schauder estimates for higher-order parabolic systems with time irregular coefficients
Hongjie Dong, Hong Zhang
Green's functions for parabolic systems of second order in time-varying domains
Hongjie Dong, Seick Kim
Parabolic and elliptic systems in divergence form with variably partially BMO coefficients
Hongjie Dong, Doyoon Kim
On partial regularity of steady-state solutions to the 6D Navier-Stokes equations
Hongjie Dong, Robert M. Strain
On $C^1$, $C^2$, and weak type-$(1,1)$ estimates for linear elliptic operators
Hongjie Dong, Seick Kim
Global well-posedness and a decay estimate for the critical dissipative quasi-geostrophic equation in the whole space
Hongjie Dong, Dapeng Du
Elliptic equations in divergence form with partially BMO coefficients
Hongjie Dong, Doyoon Kim
Gradient estimates for Stokes systems in domains
Jongkeun Choi, Hongjie Dong
On the Green's matrices of strongly parabolic systems of second order
Sungwon Cho, Hongjie Dong, Seick Kim
On a multi-dimensional transport equation with nonlocal velocity
Hongjie Dong
Parabolic equations with variably partially VMO coefficients
Hongjie Dong
On the impossibility of $W_p^2$ estimates for elliptic equations with piecewise constant coefficients
Hongjie Dong, Doyoon Kim
Boundary value problems for parabolic operators in a time-varying domain
Sungwon Cho, Hongjie Dong, Doyoon Kim
Boundary gradient estimates for parabolic and elliptic systems from linear laminates
Hongjie Dong, Jingang Xiong
Schauder estimates for a class of non-local elliptic equations
Hongjie Dong, Doyoon Kim
Higher order elliptic and parabolic systems with variably partially BMO coefficients in regular and irregular domains
Hongjie Dong, Doyoon Kim
Partial Regularity of solutions to the Four-dimensional Navier-Stokes equations at the first blow-up time
Hongjie Dong, Dapeng Du
On a one-dimensional α-patch model with nonlocal drift and fractional dissipation
Hongjie Dong, Dong Li
On a family of exact solutions to the incompressible liquid crystals in two dimensions
Hongjie Dong, Zhen Lei
Dini and Schauder estimates for nonlocal fully nonlinear parabolic equations with drifts
Hongjie Dong, Tianling Jin, Hong Zhang
Unique continuation for the Schrodinger equation with gradient vector potentials
Hongjie Dong, Wolfgang Staubach
Green's matrices of second order elliptic systems with measurable coefficients in two dimensional domains
Hongjie Dong, Seick Kim
Parabolic equations in simple convex polytopes with time irregular coefficients
Hongjie Dong, Doyoon Kim
On Schauder estimates for a class of nonlocal fully nonlinear parabolic equations
Hongjie Dong, Hong Zhang
$L_p$-estimates for time fractional parabolic equations with coefficients measurable in time
Hongjie Dong, Doyoon Kim
Partial Schauder estimates for second-order elliptic and parabolic equations: a revisit
Hongjie Dong, Seick Kim
On fully nonlinear elliptic and parabolic equations in domains with VMO coefficients
Hongjie Dong, N. V. Krylov, Xu Li
Boundary $\varepsilon$-regularity criteria for the 3D Navier-Stokes equations
Hongjie Dong, Kunrui Wang
Dissipative quasi-geostrophic equations in critical Sobolev spaces: smoothing effect and global well-posedness
Hongjie Dong
Green functions of conormal derivative problems for stationary Stokes system
Jongkeun Choi, Hongjie Dong, Doyoon Kim
Partial Regularity of solutions to the Four-Dimensional Navier-Stokes Equations
Hongjie Dong, Xumin Gu
Weighted mixed-norm $L_p$-estimates for elliptic and parabolic equations in non-divergence form with singular degenerate coefficients
Hongjie Dong, Tuoc Phan
Fundamental solutions for second order parabolic systems with drift terms
Hongjie Dong, Seick Kim
On $C^1$, $C^2$, and weak type-$(1,1)$ estimates for linear elliptic operators: Part II
Hongjie Dong, Luis Escauriaza, Seick Kim
Global $\dot H^1 \cap \dot H^{-1}$ solutions to a logarithmically regularized 2D Euler equation
Hongjie Dong, Dong Li
On Uniqueness of Boundary Blow-up Solutions of a Class of Nonlinear Elliptic Equations
Hongjie Dong, Seick Kim, Mikhail Safonov
Higher-order elliptic and parabolic equations with VMO assumptions and general boundary conditions
Hongjie Dong, Chiara Gallarati
Global estimates for Green's matrix of second order parabolic systems with application to elliptic systems in two dimensional domains
Sungwon Cho, Hongjie Dong, Seick Kim
Weighted $L_q$-estimates for stationary Stokes system with partially BMO coefficients
Hongjie Dong, Doyoon Kim
Interior and boundary regularity for the Navier-Stokes equations in the critical Lebesgue spaces
Hongjie Dong, Kunrui Wang
The conormal derivative problem for higher order elliptic systems with irregular coefficients
Hongjie Dong, Doyoon Kim
Elliptic and parabolic equations with measurable coefficients in weighted Sobolev spaces
Hongjie Dong, Doyoon Kim
Boundary partial regularity for the high dimensional Navier-Stokes equations
Hongjie Dong, Xumin Gu
On similarity solutions to the multidimensional aggregation equation
Hongjie Dong
Gradient estimates for Stokes systems with Dini mean oscillation coefficients
Jongkeun Choi, Hongjie Dong
Solvability of second-order equations with hierarchically partially BMO coefficients
Hongjie Dong
The aggregation equation with power-law kernels: ill-posedness, mass concentration and similarity solutions
Hongjie Dong
Optimal estimates for the conductivity problem by Green's function method
Hongjie Dong, Haigang Li
Conormal derivative problems for stationary Stokes system in Sobolev spaces
Jongkeun Choi, Hongjie Dong, Doyoon Kim
On the $W^2_p$ Estimate for Oblique Derivative Problem in Lipschitz Domains
Hongjie Dong, Zongyuan Li
The Navier-Stokes equations in the critical Lebesgue space
Hongjie Dong, Dapeng Du
On the existence of smooth solutions for fully nonlinear parabolic equations with measurable "coefficients" without convexity assumptions
Hongjie Dong, Nicolai V. Krylov
Partial Schauder estimates for second-order elliptic and parabolic equations
Hongjie Dong, Seick Kim
Regularity theory for parabolic equations with singular degenerate coefficients
Hongjie Dong, Tuoc Phan
Neumann problem for non-divergence elliptic and parabolic equations with BMO$_x$ coefficients in weighted Sobolev spaces
Hongjie Dong, Doyoon Kim, Hong Zhang
On an elliptic equation arising from composite materials
Hongjie Dong, Hong Zhang
On the L_p-solvability of higher order parabolic and elliptic systems with BMO coefficients
Hongjie Dong, Doyoon Kim
On the local Smoothness of Solutions of the Navier-Stokes Equations
Hongjie Dong, Dapeng Du
Regularity of a degenerate parabolic equation appearing in Vecer's unified pricing of Asian options
Hongjie Dong, Seick Kim
On $L_p$-estimates for a class of non-local elliptic equations
Hongjie Dong, Doyoon Kim
Hessian equations with elementary symmetric functions
Hongjie Dong
Fully nonlinear elliptic and parabolic equations in weighted and mixed-norm Sobolev spaces
Hongjie Dong, N. V. Krylov
On a generalized maximum principle for a transport-diffusion model with $\log$-modulated fractional dissipation
Hongjie Dong, Dong Li
On an elliptic equation arising from photo-acoustic imaging in inhomogeneous media
Habib Ammari, Hongjie Dong, Hyeonbae Kang +1
On elliptic equations in a half space or in convex wedges with irregular coefficients
Hongjie Dong
Dini estimates for nonlocal fully nonlinear elliptic equations
Hongjie Dong, Hong Zhang
On time-inhomogeneous controlled diffusion processes in domains
Hongjie Dong, N. V. Krylov
On the Analyticity of Solutions to the Navier-Stokes Equations with Fractional Dissipation
Hongjie Dong, Dong Li
A regularity criterion for the dissipative quasi-geostrophic equations
Hongjie Dong, Natasa Pavlovic
Conormal problem of higher-order parabolic systems
Hongjie Dong, Hong Zhang
Gradient estimates for parabolic and elliptic systems from linear laminates
Hongjie Dong
Green functions for pressure of Stokes systems
Jongkeun Choi, Hongjie Dong
Higher-order parabolic equations with VMO assumptions and general boundary conditions with variable leading coefficients
Hongjie Dong, Chiara Gallarati