Hongjie Dong

Overview

Best Publications

• On _{}-estimates for elliptic and parabolic equations with _{} weights

  Hongjie Dong;Doyoon Kim

  162
  Citations

• Elliptic Equations in Divergence Form with Partially BMO Coefficients

  Hongjie Dong;Doyoon Kim

  128
  Citations

• Global well-posedness and a decay estimate for the critical dissipative quasi-geostrophic equation in the whole space

  Hongjie Dong;Dapeng Du

  125
  Citations

• On Lp-estimates for a class of non-local elliptic equations

  Hongjie Dong;Doyoon Kim

  116
  Citations

• On the L p -Solvability of Higher Order Parabolic and Elliptic Systems with BMO Coefficients

  Hongjie Dong;Doyoon Kim

  106
  Citations

• Dissipative quasi-geostrophic equations in critical Sobolev spaces: Smoothing effect and global well-posedness

  Hongjie Dong

  94
  Citations

• On the L_p-solvability of higher order parabolic and elliptic systems with BMO coefficients

  Hongjie Dong;Doyoon Kim

  88
  Citations

• Finite time singularities and global well-posedness for fractal Burgers equations

  Hongjie Dong;Dapeng Du;Dong Li

  87
  Citations

• Gradient Estimates for Parabolic and Elliptic Systems from Linear Laminates

  Hongjie Dong

  87
  Citations

• Lp-estimates for time fractional parabolic equations with coefficients measurable in time

  Hongjie Dong;Doyoon Kim

  80
  Citations

• Higher order elliptic and parabolic systems with variably partially BMO coefficients in regular and irregular domains

  Hongjie Dong;Doyoon Kim

  78
  Citations

• Well-posedness for a transport equation with nonlocal velocity

  Hongjie Dong

  76
  Citations

• Optimal Estimates for the Conductivity Problem by Green’s Function Method

  Hongjie Dong;Haigang Li

  73
  Citations

• Spatial Analyticity of the Solutions to the Subcritical Dissipative Quasi-geostrophic Equations

  Hongjie Dong;Dong Li

  68
  Citations

• Lp solvability of divergence type parabolic and elliptic systems with partially BMO coefficients

  Hongjie Dong;Doyoon Kim

  67
  Citations

• Schauder estimates for a class of non-local elliptic equations

  Hongjie Dong;Doyoon Kim

  65
  Citations

• Parabolic and elliptic systems in divergence form with variably partially BMO coefficients

  Hongjie Dong;Doyoon Kim

  62
  Citations

• On C1, C2, and weak type-(1,1) estimates for linear elliptic operators

  Hongjie Dong;Seick Kim

  61
  Citations

• Partial Regularity of Solutions to the Four-Dimensional Navier-Stokes Equations at the First Blow-up Time

  Hongjie Dong;Dapeng Du

  55
  Citations

• On $$C^1$$, $$C^2$$C2, and weak type-(1, 1) estimates for linear elliptic operators: part II

  Hongjie Dong;Luis Escauriaza;Seick Kim

  54
  Citations

• A regularity criterion for the dissipative quasi-geostrophic equations

  Hongjie Dong;Nataša Pavlović

  47
  Citations

• Regularity Criteria for the Dissipative Quasi-Geostrophic Equations in Hölder Spaces

  Hongjie Dong;Nataša Pavlović

  47
  Citations

• Optimal local smoothing and analyticity rate estimates for the generalized Navier-Stokes equations

  Hongjie Dong;Dong Li

  46
  Citations

• On the 2D critical and supercritical dissipative quasi-geostrophic equation in Besov spaces

  Hongjie Dong;Dong Li

  46
  Citations

• The Rate of Convergence of Finite-Difference Approximations for Parabolic Bellman Equations with Lipschitz Coefficients in Cylindrical Domains ∗

  Hongjie Dong;Nicolai V. Krylov

  37
  Citations