Edit Profile (opens in new tab) Dong, Hongjie Compute Distance To: Compute Author ID: dong.hongjie Published as: Dong, Hongjie; Dong, H. Homepage: http://www.dam.brown.edu/people/hdong External Links: MGP · ORCID · Google Scholar · Math-Net.Ru · dblp Documents Indexed: 120 Publications since 2005 Co-Authors: 34 Co-Authors with 100 Joint Publications 1,310 Co-Co-Authors all top 5 Co-Authors 16 single-authored 24 Kim, Doyoon 15 Kim, Seick 9 Krylov, Nicolaĭ Vladimirovich 8 Li, Dong 7 Choi, Jongkeun 7 Zhang, Hong 6 Li, Zongyuan 5 Du, Dapeng 4 Phan, Tuoc Van 3 Cho, Sungwon 3 Xu, Longjuan 2 Escauriaza Zubiria, Luis 2 Gallarati, Chiara 2 Gu, Xumin 2 Pan, Xinghong 2 Pavlović, Nataša 2 Wang, Kunrui 1 Ammari, Habib M. 1 Bulut, Aynur 1 Gao, Yuan 1 Jin, Tianling 1 Kang, Hyeonbae 1 Lee, Jihoon 1 Li, Xu 1 Peng, Fa 1 Safonov, Mikhail V. 1 Staubach, Wolfgang 1 Strain, Robert M. 1 Xiong, Jingang 1 Yang, Tong 1 Zhang, Yi Ru-Ya 1 Zhong, Mingying 1 Zhou, Yuan 1 Zhu, Hanye all top 5 Serials 10 Journal of Functional Analysis 9 Calculus of Variations and Partial Differential Equations 8 Transactions of the American Mathematical Society 8 SIAM Journal on Mathematical Analysis 8 Discrete and Continuous Dynamical Systems 7 IMRN. International Mathematics Research Notices 7 Communications in Partial Differential Equations 6 Archive for Rational Mechanics and Analysis 6 Advances in Mathematics 5 Communications in Mathematical Physics 4 Indiana University Mathematics Journal 4 Journal of Differential Equations 4 Proceedings of the American Mathematical Society 4 Journal of Mathematical Fluid Mechanics 3 St. Petersburg Mathematical Journal 2 Applied Mathematics and Optimization 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Potential Analysis 2 Dynamics of Partial Differential Equations 1 Communications on Pure and Applied Mathematics 1 The Annals of Probability 1 Mathematische Annalen 1 Bulletin of the Korean Mathematical Society 1 Revista Matemática Iberoamericana 1 Electronic Journal of Differential Equations (EJDE) 1 Methods and Applications of Analysis 1 Advances in Computational Mathematics 1 Journal of Evolution Equations 1 Communications on Pure and Applied Analysis 1 Communications in Mathematical Sciences 1 Analysis in Theory and Applications 1 Analysis & PDE 1 Advances in Applied Mathematics and Mechanics 1 Bulletin of Mathematical Sciences 1 Annals of Applied Mathematics all top 5 Fields 116 Partial differential equations (35-XX) 25 Fluid mechanics (76-XX) 7 Geophysics (86-XX) 6 Mechanics of deformable solids (74-XX) 4 Probability theory and stochastic processes (60-XX) 4 Numerical analysis (65-XX) 4 Statistical mechanics, structure of matter (82-XX) 2 Real functions (26-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral equations (45-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 97 Publications have been cited 1,177 times in 674 Documents Cited by ▼ Year ▼ Elliptic equations in divergence form with partially BMO coefficients. Zbl 1206.35249Dong, Hongjie; Kim, Doyoon 63 2010 On the \(L_p\)-solvability of higher-order parabolic and elliptic systems with BMO coefficients. Zbl 1228.35113Dong, Hongjie; Kim, Doyoon 57 2011 Higher order elliptic and parabolic systems with variably partially BMO coefficients in regular and irregular domains. Zbl 1231.35093Dong, Hongjie; Kim, Doyoon 41 2011 Parabolic and elliptic systems in divergence form with variably partially BMO coefficients. Zbl 1230.35045Dong, Hongjie; Kim, Doyoon 39 2011 Global well-posedness and a decay estimate for the critical dissipative quasi-geostrophic equation in the whole space. Zbl 1141.35436Dong, Hongjie; Du, Dapeng 39 2008 Schauder estimates for a class of non-local elliptic equations. Zbl 1263.45008Dong, Hongjie; Kim, Doyoon 35 2013 Gradient estimates for parabolic and elliptic systems from linear laminates. Zbl 1258.35040Dong, Hongjie 34 2012 On \(L_p\)-estimates for elliptic and parabolic equations with \(A_p\) weights. Zbl 1427.35305Dong, Hongjie; Kim, Doyoon 33 2018 On \(L_p\)-estimates for a class of non-local elliptic equations. Zbl 1232.35182Dong, Hongjie; Kim, Doyoon 30 2012 Finite time singularities and global well-posedness for fractal Burgers equations. Zbl 1166.35030Dong, Hongjie; Du, Dapeng; Li, Dong 28 2009 Dissipative quasi-geostrophic equations in critical Sobolev spaces: smoothing effect and global well-posedness. Zbl 1186.35158Dong, Hongjie 27 2010 \(L_p\) solvability of divergence type parabolic and elliptic systems with partially BMO coefficients. Zbl 1216.35160Dong, Hongjie; Kim, Doyoon 27 2011 Well-posedness for a transport equation with nonlocal velocity. Zbl 1170.35004Dong, Hongjie 27 2008 A regularity criterion for the dissipative quasi-geostrophic equations. Zbl 1176.35133Dong, Hongjie; Pavlović, Nataša 27 2009 Parabolic and elliptic systems with VMO coefficients. Zbl 1197.35066Dong, Hongjie; Kim, Doyoon 24 2009 Green’s matrices of second order elliptic systems with measurable coefficients in two dimensional domains. Zbl 1173.35050Dong, Hongjie; Kim, Seick 23 2009 On \(C^1\), \(C^2\), and weak type-\((1,1)\) estimates for linear elliptic operators. II. Zbl 1406.35071Dong, Hongjie; Escauriaza, Luis; Kim, Seick 20 2018 Spatial analyticity of the solutions to the subcritical dissipative quasi-geostrophic equations. Zbl 1157.35456Dong, Hongjie; Li, Dong 20 2008 Optimal local smoothing and analyticity rate estimates for the generalized Navier-Stokes equations. Zbl 1173.35626Dong, Hongjie; Li, Dong 20 2009 The rate of convergence of finite-difference approximations for parabolic bellman equations with Lipschitz coefficients in cylindrical domains. Zbl 1127.65068Dong, Hongjie; Krylov, Nicolai V. 19 2007 Global regularity of weak solutions to quasilinear elliptic and parabolic equations with controlled growth. Zbl 1233.35059Dong, Hongjie; Kim, Doyoon 18 2011 Solvability of parabolic equations in divergence form with partially BMO coefficients. Zbl 1191.35145Dong, Hongjie 18 2010 On the 2D critical and supercritical dissipative quasi-geostrophic equation in Besov spaces. Zbl 1193.35151Dong, Hongjie; Li, Dong 18 2010 The Navier-Stokes equations in the critical Lebesgue space. Zbl 1216.35085Dong, Hongjie; Du, Dapeng 17 2009 Partial regularity of solutions to the four-dimensional Navier-Stokes equations at the first blow-up time. Zbl 1156.35442Dong, Hongjie; Du, Dapeng 17 2007 Weighted \(L_{q}\)-estimates for stationary Stokes system with partially BMO coefficients. Zbl 1479.35159Dong, Hongjie; Kim, Doyoon 16 2018 On \(C^{1}\), \(C^{2}\), and weak type-\((1,1)\) estimates for linear elliptic operators. Zbl 1373.35117Dong, Hongjie; Kim, Seick 16 2017 \(L_{p}\)-estimates for time fractional parabolic equations with coefficients measurable in time. Zbl 1447.35352Dong, Hongjie; Kim, Doyoon 16 2019 Regularity criteria for the dissipative quasi-geostrophic equations in Hölder spaces. Zbl 1185.35187Dong, Hongjie; Pavlović, Nataša 15 2009 On the Green’s matrices of strongly parabolic systems of second order. Zbl 1170.35005Cho, Sungwon; Dong, Hongjie; Kim, Seick 15 2008 Second-order elliptic and parabolic equations with \(B(\mathbb R^2, \mathrm{VMO})\) coefficients. Zbl 1207.35174Dong, Hongjie; Krylov, N. V. 15 2010 On the local smoothness of solutions of the Navier-Stokes equations. Zbl 1128.35081Dong, Hongjie; Du, Dapeng 14 2007 On partial regularity of steady-state solutions to the 6D Navier-Stokes equations. Zbl 1286.35193Dong, Hongjie; Strain, Robert M. 14 2012 Elliptic and parabolic equations with measurable coefficients in weighted Sobolev spaces. Zbl 1373.35114Dong, Hongjie; Kim, Doyoon 13 2015 Finite time singularities for a class of generalized surface quasi-geostrophic equations. Zbl 1143.35084Dong, Hongjie; Li, Dong 13 2008 Conormal derivative problems for stationary Stokes system in Sobolev spaces. Zbl 1393.35259Choi, Jongkeun; Dong, Hongjie; Kim, Doyoon 13 2018 On uniqueness of boundary blow-up solutions of a class of nonlinear elliptic equations. Zbl 1153.35039Dong, Hongjie; Kim, Seick; Safonov, Mikhail 12 2008 Partial Schauder estimates for second-order elliptic and parabolic equations. Zbl 1221.35078Dong, Hongjie; Kim, Seick 11 2011 The aggregation equation with power-law kernels: ill-posedness, mass concentration and similarity solutions. Zbl 1222.35205Dong, Hongjie 11 2011 On a one-dimensional \(\alpha\)-patch model with nonlocal drift and fractional dissipation. Zbl 1302.35334Dong, Hongjie; Li, Dong 11 2014 Rate of convergence of finite-difference approximations for degenerate linear parabolic equations with \(C^1\) and \(C^2\) coefficients. Zbl 1085.65087Dong, Hongjie; Krylov, Nicolai V. 11 2005 Global estimates for Green’s matrix of second order parabolic systems with application to elliptic systems in two dimensional domains. Zbl 1242.35067Cho, Sungwon; Dong, Hongjie; Kim, Seick 11 2012 Solvability of second-order equations with hierarchically partially BMO coefficients. Zbl 1242.35132Dong, Hongjie 11 2012 Optimal estimates for the conductivity problem by Green’s function method. Zbl 1412.35082Dong, Hongjie; Li, Haigang 11 2019 Fully nonlinear elliptic and parabolic equations in weighted and mixed-norm Sobolev spaces. Zbl 1418.35211Dong, Hongjie; Krylov, N. V. 11 2019 Partial regularity of solutions to the four-dimensional Navier-Stokes equations. Zbl 1294.35060Dong, Hongjie; Gu, Xumin 11 2014 On fully nonlinear elliptic and parabolic equations with VMO coefficients in domains. Zbl 1278.35133Dong, Hongjie; Krylov, N. V.; Li, Xu 10 2013 The conormal derivative problem for higher order elliptic systems with irregular coefficients. Zbl 1317.35068Dong, Hongjie; Kim, Doyoon 9 2012 Boundary partial regularity for the high dimensional Navier-Stokes equations. Zbl 1300.35070Dong, Hongjie; Gu, Xumin 9 2014 On an elliptic equation arising from composite materials. Zbl 1351.35041Dong, Hongjie; Zhang, Hong 9 2016 Dini and Schauder estimates for nonlocal fully nonlinear parabolic equations with drifts. Zbl 1392.35048Dong, Hongjie; Jin, Tianling; Zhang, Hong 8 2018 Schauder estimates for higher-order parabolic systems with time irregular coefficients. Zbl 1323.35073Dong, Hongjie; Zhang, Hong 6 2015 Boundary gradient estimates for parabolic and elliptic systems from linear laminates. Zbl 1329.35140Dong, Hongjie; Xiong, Jingang 6 2015 Conormal problem of higher-order parabolic systems with time irregular coefficients. Zbl 1334.35090Dong, Hongjie; Zhang, Hong 6 2016 On the rate of convergence of finite-difference approximations for Bellman equations with constant coefficients. Zbl 1136.49312Dong, Hongjie; Krylov, N. V. 6 2006 Unique continuation for the Schrödinger equation with gradient vector potentials. Zbl 1119.35083Dong, Hongjie; Staubach, Wolfgang 6 2007 On time-inhomogeneous controlled diffusion processes in domains. Zbl 1127.93062Dong, Hongjie; Krylov, N. V. 6 2007 On conormal and oblique derivative problem for elliptic equations with Dini mean oscillation coefficients. Zbl 1459.35119Dong, Hongjie; Lee, Jihoon; Kim, Seick 5 2020 On the impossibility of \(W_p^2\) estimates for elliptic equations with piecewise constant coefficients. Zbl 1302.35143Dong, Hongjie; Kim, Doyoon 5 2014 Green functions of conormal derivative problems for stationary Stokes system. Zbl 1404.35348Choi, Jongkeun; Dong, Hongjie; Kim, Doyoon 5 2018 \(L_p\)-estimates for time fractional parabolic equations in divergence form with measurable coefficients. Zbl 1427.35316Dong, Hongjie; Kim, Doyoon 5 2020 On the existence of smooth solutions for fully nonlinear parabolic equations with measurable “coefficients” without convexity assumptions. Zbl 1479.35526Dong, Hongjie; Krylov, N. V. 5 2013 Hessian equations with elementary symmetric functions. Zbl 1237.35051Dong, Hongjie 5 2006 Fundamental solutions for second-order parabolic systems with drift terms. Zbl 1391.35007Dong, Hongjie; Kim, Seick 4 2018 Parabolic equations with variably partially VMO coefficients. Zbl 1252.35149Dong, H. 4 2012 On similarity solutions to the multidimensional aggregation equation. Zbl 1235.35064Dong, Hongjie 4 2011 Gradient estimates for divergence form elliptic systems arising from composite material. Zbl 1429.35075Dong, Hongjie; Xu, Longjuan 4 2019 Partial Schauder estimates for second-order elliptic and parabolic equations: a revisit. Zbl 1428.35059Dong, Hongjie; Kim, Seick 4 2019 On a multi-dimensional transport equation with nonlocal velocity. Zbl 1296.35210Dong, Hongjie 3 2014 Time analyticity for the heat equation and Navier-Stokes equations. Zbl 1448.35270Dong, Hongjie; Zhang, Qi S. 3 2020 Regularity for parabolic equations with singular or degenerate coefficients. Zbl 1459.35054Dong, Hongjie; Phan, Tuoc 3 2021 Classical solutions of oblique derivative problem in nonsmooth domains with mean Dini coefficients. Zbl 1444.35043Dong, Hongjie; Li, Zongyuan 3 2020 Neumann problem for non-divergence elliptic and parabolic equations with \(\mathrm{BMO}_x\) coefficients in weighted Sobolev spaces. Zbl 1351.35039Kim, Doyoon; Dong, Hongjie; Zhang, Hong 3 2016 Higher-order elliptic and parabolic equations with VMO assumptions and general boundary conditions. Zbl 1387.35079Dong, Hongjie; Gallarati, Chiara 3 2018 Gradient estimates for Stokes systems in domains. Zbl 1404.35162Choi, Jongkeun; Dong, Hongjie 3 2019 On Schauder estimates for a class of nonlocal fully nonlinear parabolic equations. Zbl 1406.35156Dong, Hongjie; Zhang, Hong 3 2019 On elliptic equations in a half space or in convex wedges with irregular coefficients. Zbl 1281.35018Dong, Hongjie 2 2013 Existence and uniqueness of bounded stable solutions to the Peierls-Nabarro model for curved dislocations. Zbl 1462.35437Dong, Hongjie; Gao, Yuan 2 2021 Weighted mixed-norm \(L_p\)-estimates for elliptic and parabolic equations in non-divergence form with singular coefficients. Zbl 1467.35066Dong, Hongjie; Phan, Tuoc 2 2021 Optimal regularity for a Dirichlet-conormal problem in Reifenberg flat domain. Zbl 1471.35114Choi, Jongkeun; Dong, Hongjie; Li, Zongyuan 2 2021 Mixed-norm \(L_p\)-estimates for non-stationary Stokes systems with singular VMO coefficients and applications. Zbl 07297753Dong, Hongjie; Phan, Tuoc 2 2021 Hessian estimates for equations involving \(p\)-Laplacian via a fundamental inequality. Zbl 1442.35195Dong, Hongjie; Peng, Fa; Zhang, Yi Ru-Ya; Zhou, Yuan 2 2020 Parabolic equations in simple convex polytopes with time irregular coefficients. Zbl 1304.35320Dong, Hongjie; Kim, Doyoon 2 2014 Dini estimates for nonlocal fully nonlinear elliptic equations. Zbl 1394.35061Dong, Hongjie; Zhang, Hong 2 2018 Green’s functions for parabolic systems of second order in time-varying domains. Zbl 1284.35207Dong, Hongjie; Kim, Seick 2 2014 Boundary \(\varepsilon \)-regularity criteria for the three-dimensional Navier-Stokes equations. Zbl 1435.35276Dong, Hongjie; Wang, Kunrui 1 2020 Recent progress in the \({L_p}\) theory for elliptic and parabolic equations with discontinuous coefficients. Zbl 1474.35243Dong, Hongjie 1 2020 The Dirichlet-conormal problem with homogeneous and inhomogeneous boundary conditions. Zbl 1467.35130Dong, Hongjie; Li, Zongyuan 1 2021 \( L_q\)-estimates for stationary Stokes system with coefficients measurable in one direction. Zbl 1467.35065Dong, Hongjie; Kim, Doyoon 1 2019 On a generalized maximum principle for a transport-diffusion model with \(\log\)-modulated fractional dissipation. Zbl 1304.35538Dong, Hongjie; Li, Dong 1 2014 On an elliptic equation arising from photo-acoustic imaging in inhomogeneous media. Zbl 1339.35310Ammari, Habib; Dong, Hongjie; Kang, Hyeonbae; Kim, Seick 1 2015 Boundary value problems for parabolic operators in a time-varying domain. Zbl 1327.35135Cho, Sungwon; Dong, Hongjie; Kim, Doyoon 1 2015 Global \(\dot H^1 \cap \dot H^{-1}\) solutions to a logarithmically regularized \(2D\) Euler equation. Zbl 1320.35268Dong, Hongjie; Li, Dong 1 2015 Gradient estimates for Stokes systems with Dini mean oscillation coefficients. Zbl 1442.35329Choi, Jongkeun; Dong, Hongjie 1 2019 Hessian estimates for non-divergence form elliptic equations arising from composite materials. Zbl 1472.35120Dong, Hongjie; Xu, Longjuan 1 2021 The conormal and Robin boundary value problems in nonsmooth domains satisfying a measure condition. Zbl 1473.35160Dong, Hongjie; Li, Zongyuan 1 2021 Time analyticity for inhomogeneous parabolic equations and the Navier-Stokes equations in the half space. Zbl 1447.35089Dong, Hongjie; Pan, Xinghong 1 2020 Regularity for parabolic equations with singular or degenerate coefficients. Zbl 1459.35054Dong, Hongjie; Phan, Tuoc 3 2021 Existence and uniqueness of bounded stable solutions to the Peierls-Nabarro model for curved dislocations. Zbl 1462.35437Dong, Hongjie; Gao, Yuan 2 2021 Weighted mixed-norm \(L_p\)-estimates for elliptic and parabolic equations in non-divergence form with singular coefficients. Zbl 1467.35066Dong, Hongjie; Phan, Tuoc 2 2021 Optimal regularity for a Dirichlet-conormal problem in Reifenberg flat domain. Zbl 1471.35114Choi, Jongkeun; Dong, Hongjie; Li, Zongyuan 2 2021 Mixed-norm \(L_p\)-estimates for non-stationary Stokes systems with singular VMO coefficients and applications. Zbl 07297753Dong, Hongjie; Phan, Tuoc 2 2021 The Dirichlet-conormal problem with homogeneous and inhomogeneous boundary conditions. Zbl 1467.35130Dong, Hongjie; Li, Zongyuan 1 2021 Hessian estimates for non-divergence form elliptic equations arising from composite materials. Zbl 1472.35120Dong, Hongjie; Xu, Longjuan 1 2021 The conormal and Robin boundary value problems in nonsmooth domains satisfying a measure condition. Zbl 1473.35160Dong, Hongjie; Li, Zongyuan 1 2021 On conormal and oblique derivative problem for elliptic equations with Dini mean oscillation coefficients. Zbl 1459.35119Dong, Hongjie; Lee, Jihoon; Kim, Seick 5 2020 \(L_p\)-estimates for time fractional parabolic equations in divergence form with measurable coefficients. Zbl 1427.35316Dong, Hongjie; Kim, Doyoon 5 2020 Time analyticity for the heat equation and Navier-Stokes equations. Zbl 1448.35270Dong, Hongjie; Zhang, Qi S. 3 2020 Classical solutions of oblique derivative problem in nonsmooth domains with mean Dini coefficients. Zbl 1444.35043Dong, Hongjie; Li, Zongyuan 3 2020 Hessian estimates for equations involving \(p\)-Laplacian via a fundamental inequality. Zbl 1442.35195Dong, Hongjie; Peng, Fa; Zhang, Yi Ru-Ya; Zhou, Yuan 2 2020 Boundary \(\varepsilon \)-regularity criteria for the three-dimensional Navier-Stokes equations. Zbl 1435.35276Dong, Hongjie; Wang, Kunrui 1 2020 Recent progress in the \({L_p}\) theory for elliptic and parabolic equations with discontinuous coefficients. Zbl 1474.35243Dong, Hongjie 1 2020 Time analyticity for inhomogeneous parabolic equations and the Navier-Stokes equations in the half space. Zbl 1447.35089Dong, Hongjie; Pan, Xinghong 1 2020 \(L_{p}\)-estimates for time fractional parabolic equations with coefficients measurable in time. Zbl 1447.35352Dong, Hongjie; Kim, Doyoon 16 2019 Optimal estimates for the conductivity problem by Green’s function method. Zbl 1412.35082Dong, Hongjie; Li, Haigang 11 2019 Fully nonlinear elliptic and parabolic equations in weighted and mixed-norm Sobolev spaces. Zbl 1418.35211Dong, Hongjie; Krylov, N. V. 11 2019 Gradient estimates for divergence form elliptic systems arising from composite material. Zbl 1429.35075Dong, Hongjie; Xu, Longjuan 4 2019 Partial Schauder estimates for second-order elliptic and parabolic equations: a revisit. Zbl 1428.35059Dong, Hongjie; Kim, Seick 4 2019 Gradient estimates for Stokes systems in domains. Zbl 1404.35162Choi, Jongkeun; Dong, Hongjie 3 2019 On Schauder estimates for a class of nonlocal fully nonlinear parabolic equations. Zbl 1406.35156Dong, Hongjie; Zhang, Hong 3 2019 \( L_q\)-estimates for stationary Stokes system with coefficients measurable in one direction. Zbl 1467.35065Dong, Hongjie; Kim, Doyoon 1 2019 Gradient estimates for Stokes systems with Dini mean oscillation coefficients. Zbl 1442.35329Choi, Jongkeun; Dong, Hongjie 1 2019 On \(L_p\)-estimates for elliptic and parabolic equations with \(A_p\) weights. Zbl 1427.35305Dong, Hongjie; Kim, Doyoon 33 2018 On \(C^1\), \(C^2\), and weak type-\((1,1)\) estimates for linear elliptic operators. II. Zbl 1406.35071Dong, Hongjie; Escauriaza, Luis; Kim, Seick 20 2018 Weighted \(L_{q}\)-estimates for stationary Stokes system with partially BMO coefficients. Zbl 1479.35159Dong, Hongjie; Kim, Doyoon 16 2018 Conormal derivative problems for stationary Stokes system in Sobolev spaces. Zbl 1393.35259Choi, Jongkeun; Dong, Hongjie; Kim, Doyoon 13 2018 Dini and Schauder estimates for nonlocal fully nonlinear parabolic equations with drifts. Zbl 1392.35048Dong, Hongjie; Jin, Tianling; Zhang, Hong 8 2018 Green functions of conormal derivative problems for stationary Stokes system. Zbl 1404.35348Choi, Jongkeun; Dong, Hongjie; Kim, Doyoon 5 2018 Fundamental solutions for second-order parabolic systems with drift terms. Zbl 1391.35007Dong, Hongjie; Kim, Seick 4 2018 Higher-order elliptic and parabolic equations with VMO assumptions and general boundary conditions. Zbl 1387.35079Dong, Hongjie; Gallarati, Chiara 3 2018 Dini estimates for nonlocal fully nonlinear elliptic equations. Zbl 1394.35061Dong, Hongjie; Zhang, Hong 2 2018 On \(C^{1}\), \(C^{2}\), and weak type-\((1,1)\) estimates for linear elliptic operators. Zbl 1373.35117Dong, Hongjie; Kim, Seick 16 2017 On an elliptic equation arising from composite materials. Zbl 1351.35041Dong, Hongjie; Zhang, Hong 9 2016 Conormal problem of higher-order parabolic systems with time irregular coefficients. Zbl 1334.35090Dong, Hongjie; Zhang, Hong 6 2016 Neumann problem for non-divergence elliptic and parabolic equations with \(\mathrm{BMO}_x\) coefficients in weighted Sobolev spaces. Zbl 1351.35039Kim, Doyoon; Dong, Hongjie; Zhang, Hong 3 2016 Elliptic and parabolic equations with measurable coefficients in weighted Sobolev spaces. Zbl 1373.35114Dong, Hongjie; Kim, Doyoon 13 2015 Schauder estimates for higher-order parabolic systems with time irregular coefficients. Zbl 1323.35073Dong, Hongjie; Zhang, Hong 6 2015 Boundary gradient estimates for parabolic and elliptic systems from linear laminates. Zbl 1329.35140Dong, Hongjie; Xiong, Jingang 6 2015 On an elliptic equation arising from photo-acoustic imaging in inhomogeneous media. Zbl 1339.35310Ammari, Habib; Dong, Hongjie; Kang, Hyeonbae; Kim, Seick 1 2015 Boundary value problems for parabolic operators in a time-varying domain. Zbl 1327.35135Cho, Sungwon; Dong, Hongjie; Kim, Doyoon 1 2015 Global \(\dot H^1 \cap \dot H^{-1}\) solutions to a logarithmically regularized \(2D\) Euler equation. Zbl 1320.35268Dong, Hongjie; Li, Dong 1 2015 On a one-dimensional \(\alpha\)-patch model with nonlocal drift and fractional dissipation. Zbl 1302.35334Dong, Hongjie; Li, Dong 11 2014 Partial regularity of solutions to the four-dimensional Navier-Stokes equations. Zbl 1294.35060Dong, Hongjie; Gu, Xumin 11 2014 Boundary partial regularity for the high dimensional Navier-Stokes equations. Zbl 1300.35070Dong, Hongjie; Gu, Xumin 9 2014 On the impossibility of \(W_p^2\) estimates for elliptic equations with piecewise constant coefficients. Zbl 1302.35143Dong, Hongjie; Kim, Doyoon 5 2014 On a multi-dimensional transport equation with nonlocal velocity. Zbl 1296.35210Dong, Hongjie 3 2014 Parabolic equations in simple convex polytopes with time irregular coefficients. Zbl 1304.35320Dong, Hongjie; Kim, Doyoon 2 2014 Green’s functions for parabolic systems of second order in time-varying domains. Zbl 1284.35207Dong, Hongjie; Kim, Seick 2 2014 On a generalized maximum principle for a transport-diffusion model with \(\log\)-modulated fractional dissipation. Zbl 1304.35538Dong, Hongjie; Li, Dong 1 2014 Schauder estimates for a class of non-local elliptic equations. Zbl 1263.45008Dong, Hongjie; Kim, Doyoon 35 2013 On fully nonlinear elliptic and parabolic equations with VMO coefficients in domains. Zbl 1278.35133Dong, Hongjie; Krylov, N. V.; Li, Xu 10 2013 On the existence of smooth solutions for fully nonlinear parabolic equations with measurable “coefficients” without convexity assumptions. Zbl 1479.35526Dong, Hongjie; Krylov, N. V. 5 2013 On elliptic equations in a half space or in convex wedges with irregular coefficients. Zbl 1281.35018Dong, Hongjie 2 2013 Gradient estimates for parabolic and elliptic systems from linear laminates. Zbl 1258.35040Dong, Hongjie 34 2012 On \(L_p\)-estimates for a class of non-local elliptic equations. Zbl 1232.35182Dong, Hongjie; Kim, Doyoon 30 2012 On partial regularity of steady-state solutions to the 6D Navier-Stokes equations. Zbl 1286.35193Dong, Hongjie; Strain, Robert M. 14 2012 Global estimates for Green’s matrix of second order parabolic systems with application to elliptic systems in two dimensional domains. Zbl 1242.35067Cho, Sungwon; Dong, Hongjie; Kim, Seick 11 2012 Solvability of second-order equations with hierarchically partially BMO coefficients. Zbl 1242.35132Dong, Hongjie 11 2012 The conormal derivative problem for higher order elliptic systems with irregular coefficients. Zbl 1317.35068Dong, Hongjie; Kim, Doyoon 9 2012 Parabolic equations with variably partially VMO coefficients. Zbl 1252.35149Dong, H. 4 2012 On the \(L_p\)-solvability of higher-order parabolic and elliptic systems with BMO coefficients. Zbl 1228.35113Dong, Hongjie; Kim, Doyoon 57 2011 Higher order elliptic and parabolic systems with variably partially BMO coefficients in regular and irregular domains. Zbl 1231.35093Dong, Hongjie; Kim, Doyoon 41 2011 Parabolic and elliptic systems in divergence form with variably partially BMO coefficients. Zbl 1230.35045Dong, Hongjie; Kim, Doyoon 39 2011 \(L_p\) solvability of divergence type parabolic and elliptic systems with partially BMO coefficients. Zbl 1216.35160Dong, Hongjie; Kim, Doyoon 27 2011 Global regularity of weak solutions to quasilinear elliptic and parabolic equations with controlled growth. Zbl 1233.35059Dong, Hongjie; Kim, Doyoon 18 2011 Partial Schauder estimates for second-order elliptic and parabolic equations. Zbl 1221.35078Dong, Hongjie; Kim, Seick 11 2011 The aggregation equation with power-law kernels: ill-posedness, mass concentration and similarity solutions. Zbl 1222.35205Dong, Hongjie 11 2011 On similarity solutions to the multidimensional aggregation equation. Zbl 1235.35064Dong, Hongjie 4 2011 Elliptic equations in divergence form with partially BMO coefficients. Zbl 1206.35249Dong, Hongjie; Kim, Doyoon 63 2010 Dissipative quasi-geostrophic equations in critical Sobolev spaces: smoothing effect and global well-posedness. Zbl 1186.35158Dong, Hongjie 27 2010 Solvability of parabolic equations in divergence form with partially BMO coefficients. Zbl 1191.35145Dong, Hongjie 18 2010 On the 2D critical and supercritical dissipative quasi-geostrophic equation in Besov spaces. Zbl 1193.35151Dong, Hongjie; Li, Dong 18 2010 Second-order elliptic and parabolic equations with \(B(\mathbb R^2, \mathrm{VMO})\) coefficients. Zbl 1207.35174Dong, Hongjie; Krylov, N. V. 15 2010 Finite time singularities and global well-posedness for fractal Burgers equations. Zbl 1166.35030Dong, Hongjie; Du, Dapeng; Li, Dong 28 2009 A regularity criterion for the dissipative quasi-geostrophic equations. Zbl 1176.35133Dong, Hongjie; Pavlović, Nataša 27 2009 Parabolic and elliptic systems with VMO coefficients. Zbl 1197.35066Dong, Hongjie; Kim, Doyoon 24 2009 Green’s matrices of second order elliptic systems with measurable coefficients in two dimensional domains. Zbl 1173.35050Dong, Hongjie; Kim, Seick 23 2009 Optimal local smoothing and analyticity rate estimates for the generalized Navier-Stokes equations. Zbl 1173.35626Dong, Hongjie; Li, Dong 20 2009 The Navier-Stokes equations in the critical Lebesgue space. Zbl 1216.35085Dong, Hongjie; Du, Dapeng 17 2009 Regularity criteria for the dissipative quasi-geostrophic equations in Hölder spaces. Zbl 1185.35187Dong, Hongjie; Pavlović, Nataša 15 2009 Global well-posedness and a decay estimate for the critical dissipative quasi-geostrophic equation in the whole space. Zbl 1141.35436Dong, Hongjie; Du, Dapeng 39 2008 Well-posedness for a transport equation with nonlocal velocity. Zbl 1170.35004Dong, Hongjie 27 2008 Spatial analyticity of the solutions to the subcritical dissipative quasi-geostrophic equations. Zbl 1157.35456Dong, Hongjie; Li, Dong 20 2008 On the Green’s matrices of strongly parabolic systems of second order. Zbl 1170.35005Cho, Sungwon; Dong, Hongjie; Kim, Seick 15 2008 Finite time singularities for a class of generalized surface quasi-geostrophic equations. Zbl 1143.35084Dong, Hongjie; Li, Dong 13 2008 On uniqueness of boundary blow-up solutions of a class of nonlinear elliptic equations. Zbl 1153.35039Dong, Hongjie; Kim, Seick; Safonov, Mikhail 12 2008 The rate of convergence of finite-difference approximations for parabolic bellman equations with Lipschitz coefficients in cylindrical domains. Zbl 1127.65068Dong, Hongjie; Krylov, Nicolai V. 19 2007 Partial regularity of solutions to the four-dimensional Navier-Stokes equations at the first blow-up time. Zbl 1156.35442Dong, Hongjie; Du, Dapeng 17 2007 On the local smoothness of solutions of the Navier-Stokes equations. Zbl 1128.35081Dong, Hongjie; Du, Dapeng 14 2007 Unique continuation for the Schrödinger equation with gradient vector potentials. Zbl 1119.35083Dong, Hongjie; Staubach, Wolfgang 6 2007 On time-inhomogeneous controlled diffusion processes in domains. Zbl 1127.93062Dong, Hongjie; Krylov, N. V. 6 2007 On the rate of convergence of finite-difference approximations for Bellman equations with constant coefficients. Zbl 1136.49312Dong, Hongjie; Krylov, N. V. 6 2006 Hessian equations with elementary symmetric functions. Zbl 1237.35051Dong, Hongjie 5 2006 Rate of convergence of finite-difference approximations for degenerate linear parabolic equations with \(C^1\) and \(C^2\) coefficients. Zbl 1085.65087Dong, Hongjie; Krylov, Nicolai V. 11 2005 all cited Publications top 5 cited Publications all top 5 Cited by 698 Authors 76 Dong, Hongjie 24 Zheng, Shenzhou 23 Krylov, Nicolaĭ Vladimirovich 21 Kim, Doyoon 20 Kim, Seick 14 Choi, Jongkeun 13 Byun, Sun-Sig 12 Li, Dong 11 Kim, KyeongHun 11 Phan, Tuoc Van 9 Arkhipova, Arina A. Arkhipova 9 Wang, Lihe 9 Zhang, Junjie 8 Kim, Ildoo 8 Kim, Youchan 8 Mikulevicius, Remigijus 8 Tian, Hong 7 Bae, Hantaek 7 Gyöngy, István 7 Liu, Qiao 7 Mengesha, Tadele 7 Ryu, Seungjin 7 Xu, Longjuan 7 Yao, Fengping 7 Zhang, Hong 6 Biswas, Animikh 6 Carrillo de la Plata, José Antonio 6 Escauriaza Zubiria, Luis 6 Ferreira, Lucas Catão de Freitas 6 Geng, Jun 6 Li, Haigang 6 Martinez, Vincent R. 6 Stará, Jana 6 Wu, Jiahong 5 Constantin, Peter 5 Dai, Mimi 5 Dong, Boqing 5 Jolly, Michael S. 5 Kenig, Carlos Eduardo 5 Li, Zongyuan 5 Liang, Shuang 5 Niu, Weisheng 5 Ok, Jihoon 5 Softova, Lubomira G. 5 The Anh Bui 5 Xu, Yao 5 Yang, Dachun 5 Zhao, Jihong 5 Zhao, Zhiwen 4 Bertozzi, Andrea Louise 4 Chen, Zhimin 4 Dong, Rong 4 Granero Belinchón, Rafael 4 Guliyev, Vagif Sabir 4 Jang, Yunsoo 4 Jia, Yan 4 Kim, Hyunseok 4 Kriventsov, Dennis 4 Lazar, Omar 4 Lee, Mikyoung 4 Li, Dongsheng 4 Miao, Changxing 4 Mou, Chenchen 4 Nguyen Huy Tuan 4 Rodrigo, José Luis 4 Titi, Edriss Saleh 4 Vicol, Vlad C. 4 Wang, Weike 4 Wang, Yanqing 4 Wu, Gang 4 Yang, Sibei 4 Zhang, Zhijun 3 Albritton, Dallas 3 Bao, Jiguang 3 Barker, Tobias 3 Brown, Russell Murray 3 Bui, The Quan 3 Cho, Sungwon 3 Du, Dapeng 3 Duong, Xuan Thinh 3 Friedlander, Susan Jean 3 Han, Pigong 3 Hao, Xia 3 He, Jiawei 3 Hoffmann, Franca 3 Jakobsen, Espen Robstad 3 Jin, Tianling 3 Kang, Kyungkeun 3 Katzourakis, Nikolaos I. 3 Koch, Gabriel S. 3 Kohr, Mirela 3 Laurent, Thomas 3 Li, Kuijie 3 Mayboroda, Svitlana 3 Omarova, Mehriban N. 3 O’Regan, Donal 3 Palagachev, Dian K. 3 Park, Daehan 3 Pavlović, Nataša 3 Phonsom, C. ...and 598 more Authors all top 5 Cited in 146 Serials 60 Journal of Differential Equations 39 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 32 Journal of Mathematical Analysis and Applications 28 Journal of Functional Analysis 24 Calculus of Variations and Partial Differential Equations 20 Advances in Mathematics 20 SIAM Journal on Mathematical Analysis 20 Communications on Pure and Applied Analysis 19 Journal of Mathematical Fluid Mechanics 16 Transactions of the American Mathematical Society 16 Communications in Partial Differential Equations 15 Archive for Rational Mechanics and Analysis 15 Discrete and Continuous Dynamical Systems 14 Communications in Mathematical Physics 13 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 13 Potential Analysis 11 Mathematics of Computation 11 Applied Mathematics and Optimization 10 Journal de Mathématiques Pures et Appliquées. Neuvième Série 9 Proceedings of the American Mathematical Society 8 Nonlinearity 8 Journal of Evolution Equations 7 Analysis & PDE 6 Mathematical Methods in the Applied Sciences 6 Manuscripta Mathematica 6 Chinese Annals of Mathematics. Series B 6 Journal of Nonlinear Science 6 Acta Mathematica Sinica. English Series 6 Science China. Mathematics 5 Computers & Mathematics with Applications 5 Applied Mathematics Letters 5 NoDEA. Nonlinear Differential Equations and Applications 5 Nonlinear Analysis. Real World Applications 5 Boundary Value Problems 5 Stochastic and Partial Differential Equations. Analysis and Computations 4 SIAM Journal on Control and Optimization 4 Acta Mathematicae Applicatae Sinica. English Series 4 Journal of Mathematical Sciences (New York) 4 Communications in Contemporary Mathematics 4 Complex Variables and Elliptic Equations 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 The Annals of Probability 3 Mathematische Annalen 3 Mathematische Zeitschrift 3 Pacific Journal of Mathematics 3 Asymptotic Analysis 3 The Journal of Geometric Analysis 3 St. Petersburg Mathematical Journal 3 Discrete and Continuous Dynamical Systems. Series B 3 Advanced Nonlinear Studies 3 Evolution Equations and Control Theory 3 Annals of PDE 3 Journal of Elliptic and Parabolic Equations 2 Inverse Problems 2 Journal d’Analyse Mathématique 2 Journal of Mathematical Physics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Duke Mathematical Journal 2 Journal of the Korean Mathematical Society 2 Mathematische Nachrichten 2 Monatshefte für Mathematik 2 Acta Applicandae Mathematicae 2 Physica D 2 Revista Matemática Iberoamericana 2 International Journal of Mathematics 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Stochastic Processes and their Applications 2 Journal of Dynamics and Differential Equations 2 Annales Academiae Scientiarum Fennicae. Mathematica 2 Abstract and Applied Analysis 2 Journal of Inequalities and Applications 2 Discrete Dynamics in Nature and Society 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Milan Journal of Mathematics 2 Multiscale Modeling & Simulation 2 Discrete and Continuous Dynamical Systems. Series S 2 Analysis and Mathematical Physics 2 Advances in Nonlinear Analysis 1 Communications on Pure and Applied Mathematics 1 Geophysical and Astrophysical Fluid Dynamics 1 Journal of Statistical Physics 1 Rocky Mountain Journal of Mathematics 1 Russian Mathematical Surveys 1 Ukrainian Mathematical Journal 1 Chaos, Solitons and Fractals 1 Theory of Probability and its Applications 1 Acta Mathematica 1 Annales Polonici Mathematici 1 Applied Mathematics and Computation 1 Canadian Journal of Mathematics 1 Indiana University Mathematics Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Integral Equations and Operator Theory 1 Inventiones Mathematicae 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Memoirs of the American Mathematical Society 1 Numerische Mathematik 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II ...and 46 more Serials all top 5 Cited in 37 Fields 628 Partial differential equations (35-XX) 144 Fluid mechanics (76-XX) 52 Probability theory and stochastic processes (60-XX) 47 Harmonic analysis on Euclidean spaces (42-XX) 45 Functional analysis (46-XX) 38 Geophysics (86-XX) 36 Operator theory (47-XX) 29 Calculus of variations and optimal control; optimization (49-XX) 29 Numerical analysis (65-XX) 26 Real functions (26-XX) 24 Systems theory; control (93-XX) 22 Integral equations (45-XX) 22 Mechanics of deformable solids (74-XX) 12 Ordinary differential equations (34-XX) 11 Potential theory (31-XX) 11 Biology and other natural sciences (92-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Optics, electromagnetic theory (78-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Integral transforms, operational calculus (44-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Difference and functional equations (39-XX) 4 Operations research, mathematical programming (90-XX) 3 Measure and integration (28-XX) 3 Special functions (33-XX) 2 Functions of a complex variable (30-XX) 2 Differential geometry (53-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year