Hongjie Dong, Ph.D. - Publications

Affiliations: 
2005 University of Minnesota, Twin Cities, Minneapolis, MN 
Area:
Mathematics

84 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2020 Dong H, Gallarati C. Higher-Order Parabolic Equations with VMO Assumptions and General Boundary Conditions with Variable Leading Coefficients International Mathematics Research Notices. 2020: 2114-2144. DOI: 10.1093/Imrn/Rny084  0.51
2020 Dong H, Li Z. Classical solutions of oblique derivative problem in nonsmooth domains with mean Dini coefficients Transactions of the American Mathematical Society. 373: 4975-4997. DOI: 10.1090/Tran/8042  0.376
2020 Dong H, Zhang QS. Time analyticity for the heat equation and Navier-Stokes equations Journal of Functional Analysis. 279: 108563. DOI: 10.1016/J.Jfa.2020.108563  0.535
2020 Dong H, Kim D. Lp-estimates for time fractional parabolic equations in divergence form with measurable coefficients Journal of Functional Analysis. 278: 108338. DOI: 10.1016/J.Jfa.2019.108338  0.701
2020 Dong H, Peng F, Zhang YR, Zhou Y. Hessian estimates for equations involving p-Laplacian via a fundamental inequality Advances in Mathematics. 370: 107212. DOI: 10.1016/J.Aim.2020.107212  0.496
2020 Dong H, Xu L. Hessian Estimates for Non-divergence form Elliptic Equations Arising from Composite Materials Potential Analysis. 1-41. DOI: 10.1007/S11118-020-09832-W  0.529
2020 Dong H, Pan X. Time Analyticity for Inhomogeneous Parabolic Equations and the Navier–Stokes Equations in the Half Space Journal of Mathematical Fluid Mechanics. 22. DOI: 10.1007/S00021-020-00515-5  0.522
2019 Choi J, Dong H. Gradient estimates for Stokes systems in domains Dynamics of Partial Differential Equations. 16: 1-24. DOI: 10.4310/Dpde.2019.V16.N1.A1  0.353
2019 Dong H, Yang T, Zhong M. Exterior Problem of the Linear Vlasov--Poisson--Boltzmann System Siam Journal On Mathematical Analysis. 51: 1792-1823. DOI: 10.1137/18M1232875  0.375
2019 Dong H, Xu L. Gradient Estimates for Divergence Form Elliptic Systems Arising from Composite Material Siam Journal On Mathematical Analysis. 51: 2444-2478. DOI: 10.1137/18M1226658  0.386
2019 Dong H, Kim S. Partial Schauder Estimates for Second-Order Elliptic and Parabolic Equations: A Revisit International Mathematics Research Notices. 2019: 2085-2136. DOI: 10.1093/Imrn/Rnx180  0.545
2019 Choi J, Dong H. Gradient estimates for Stokes systems with Dini mean oscillation coefficients Journal of Differential Equations. 266: 4451-4509. DOI: 10.1016/J.Jde.2018.10.001  0.505
2019 Dong H, Kim D. Lp-estimates for time fractional parabolic equations with coefficients measurable in time Advances in Mathematics. 345: 289-345. DOI: 10.1016/J.Aim.2019.01.016  0.665
2019 Dong H, Krylov NV. Fully nonlinear elliptic and parabolic equations in weighted and mixed-norm Sobolev spaces Calculus of Variations and Partial Differential Equations. 58: 145. DOI: 10.1007/S00526-019-1591-3  0.695
2019 Dong H, Zhang H. On Schauder estimates for a class of nonlocal fully nonlinear parabolic equations Calculus of Variations and Partial Differential Equations. 58: 40. DOI: 10.1007/S00526-019-1482-7  0.561
2019 Choi J, Dong H, Li Z. Optimal Regularity for a Dirichlet-Conormal Problem in Reifenberg Flat Domain Applied Mathematics and Optimization. 1-37. DOI: 10.1007/S00245-019-09600-2  0.441
2019 Dong H, Li H. Optimal estimates for the conductivity problem by Green's function method Archive For Rational Mechanics and Analysis. 231: 1427-1453. DOI: 10.1007/S00205-018-1301-X  0.452
2018 Dong H, Jin T, Zhang H. Dini and Schauder estimates for nonlocal fully nonlinear parabolic equations with drifts Analysis & Pde. 11: 1487-1534. DOI: 10.2140/Apde.2018.11.1487  0.534
2018 Dong H, Gallarati C. Higher-order elliptic and parabolic equations with VMO assumptions and general boundary conditions Journal of Functional Analysis. 274: 1993-2038. DOI: 10.1016/J.Jfa.2018.01.011  0.557
2018 Dong H, Escauriaza L, Kim S. On $$C^1$$, $$C^2$$C2, and weak type-(1, 1) estimates for linear elliptic operators: part II Mathematische Annalen. 370: 447-489. DOI: 10.1007/S00208-017-1603-6  0.528
2018 Choi J, Dong H, Kim D. Green Functions of Conormal Derivative Problems for Stationary Stokes System Journal of Mathematical Fluid Mechanics. 20: 1745-1769. DOI: 10.1007/S00021-018-0387-0  0.595
2017 Dong H, Kim S. On C1, C2, and weak type-(1,1) estimates for linear elliptic operators Communications in Partial Differential Equations. 42: 417-435. DOI: 10.1080/03605302.2017.1278773  0.526
2017 Dong H, Kim D. Weighted L q -estimates for stationary Stokes system with partially BMO coefficients Journal of Differential Equations. 264: 4603-4649. DOI: 10.1016/J.Jde.2017.12.011  0.608
2017 Dong H, Zhang H. Dini estimates for nonlocal fully nonlinear elliptic equations Annales De L Institut Henri Poincare-Analyse Non Lineaire. 35: 971-992. DOI: 10.1016/J.Anihpc.2017.09.003  0.486
2016 Kim D, Dong H, Zhang H. Neumann problem for non-divergence elliptic and parabolic equations with BMOX coefficients in weighted sobolev spaces Discrete and Continuous Dynamical Systems- Series A. 36: 4895-4914. DOI: 10.3934/Dcds.2016011  0.687
2016 Dong H, Kim D. On $L_p$-estimates for elliptic and parabolic equations with $A_p$ weights Transactions of the American Mathematical Society. 370: 5081-5130. DOI: 10.1090/Tran/7161  0.612
2016 Dong H, Zhang H. Conormal problem of higher-order parabolic systems with time irregular coefficients Transactions of the American Mathematical Society. 368: 7413-7460. DOI: 10.1090/Tran/6605  0.464
2016 Dong H, Zhang H. On an Elliptic Equation Arising from Composite Materials Archive For Rational Mechanics and Analysis. 1-43. DOI: 10.1007/S00205-016-0996-9  0.413
2015 Dong H, Kim S. Regularity of a degenerate parabolic equation appearing in Vecer’s unified pricing of Asian options Bulletin of the Korean Mathematical Society. 52: 947-953. DOI: 10.4134/Bkms.2015.52.3.947  0.477
2015 Ammari H, Dong H, Kang H, Kim S. On An Elliptic Equation Arising from Photo-Acoustic Imaging in Inhomogeneous Media International Mathematics Research Notices. 2015: 12105-12113. DOI: 10.1093/Imrn/Rnv067  0.462
2015 Dong H, Xiong J. Boundary Gradient Estimates for Parabolic and Elliptic Systems from Linear Laminates International Mathematics Research Notices. 2015: 7734-7756. DOI: 10.1093/Imrn/Rnu185  0.432
2015 Cho S, Dong H, Kim D. Boundary Value Problems for Parabolic Operators in a Time-Varying Domain Communications in Partial Differential Equations. 40: 1282-1313. DOI: 10.1080/03605302.2015.1019628  0.595
2015 Dong H, Kim D. Elliptic and parabolic equations with measurable coefficients in weighted Sobolev spaces Advances in Mathematics. 274: 681-735. DOI: 10.1016/J.Aim.2014.12.037  0.686
2015 Dong H, Zhang H. Schauder estimates for higher-order parabolic systems with time irregular coefficients Calculus of Variations and Partial Differential Equations. 54: 47-74. DOI: 10.1007/S00526-014-0777-Y  0.467
2015 Dong H, Li D. Global {{\dot{H}^1 \cap \dot{H}^{-1}}} Solutions to a Logarithmically Regularized 2D Euler Equation Journal of Mathematical Fluid Mechanics. 17: 1-7. DOI: 10.1007/S00021-014-0195-0  0.39
2014 Dong H, Gu X. Partial regularity of solutions to the four-dimensional Navier-Stokes equations Dynamics of Partial Differential Equations. 11: 53-69. DOI: 10.4310/Dpde.2014.V11.N1.A3  0.488
2014 Dong H, Li D. On a generalized maximum principle for a transport-diffusion model with $\log$-modulated fractional dissipation Discrete and Continuous Dynamical Systems. 34: 3437-3454. DOI: 10.3934/Dcds.2014.34.3437  0.343
2014 Dong H, Kim S. Green's functions for parabolic systems of second order in time-varying domains Communications On Pure and Applied Analysis. 13: 1407-1433. DOI: 10.3934/Cpaa.2014.13.1407  0.486
2014 Dong H, Kim D. Parabolic Equations in Simple Convex Polytopes with Time Irregular Coefficients Siam Journal On Mathematical Analysis. 46: 1789-1819. DOI: 10.1137/130936890  0.675
2014 Dong H, Kim D. On the impossibility of Wp2 estimates for elliptic equations with piecewise constant coefficients Journal of Functional Analysis. 267: 3963-3974. DOI: 10.1016/J.Jfa.2014.09.013  0.664
2014 Dong H, Gu X. Boundary partial regularity for the high dimensional Navier-Stokes equations Journal of Functional Analysis. 267: 2606-2637. DOI: 10.1016/J.Jfa.2014.08.001  0.448
2014 Dong H. On a multi-dimensional transport equation with nonlocal velocity Advances in Mathematics. 264: 747-761. DOI: 10.1016/J.Aim.2014.07.028  0.48
2013 Dong H, Krylov NV, Li X. On fully nonlinear elliptic and parabolic equations with VMO coefficients in domains St. Petersburg Mathematical Journal. 24: 39-69. DOI: 10.1090/S1061-0022-2012-01231-8  0.674
2013 Dong H, Krylov NV. On the Existence of Smooth Solutions for Fully Nonlinear Parabolic Equations with Measurable "Coefficients" without Convexity Assumptions Communications in Partial Differential Equations. 38: 1038-1068. DOI: 10.1080/03605302.2012.756013  0.712
2013 Dong H. On elliptic equations in a half space or in convex wedges with irregular coefficients Advances in Mathematics. 238: 24-49. DOI: 10.1016/J.Aim.2013.02.004  0.602
2012 Dong H, Kim D. Schauder estimates for a class of non-local elliptic equations Discrete and Continuous Dynamical Systems. 33: 2319-2347. DOI: 10.3934/Dcds.2013.33.2319  0.584
2012 Dong H, Strain RM. On partial regularity of steady-state solutions to the 6D Navier-Stokes equations Indiana University Mathematics Journal. 61: 2211-2229. DOI: 10.1512/Iumj.2012.61.4765  0.468
2012 Dong H. Parabolic equations with variably partially VMO coefficients St. Petersburg Mathematical Journal. 23: 521-539. DOI: 10.1090/S1061-0022-2012-01206-9  0.559
2012 Dong H. Solvability of second-order equations with hierarchically partially BMO coefficients Transactions of the American Mathematical Society. 364: 493-517. DOI: 10.1090/S0002-9947-2011-05453-X  0.557
2012 Dong H, Kim D. On Lp-estimates for a class of non-local elliptic equations Journal of Functional Analysis. 262: 1166-1199. DOI: 10.1016/J.Jfa.2011.11.002  0.631
2012 Cho S, Dong H, Kim S. Global Estimates for Green’s Matrix of Second Order Parabolic Systems with Application to Elliptic Systems in Two Dimensional Domains Potential Analysis. 36: 339-372. DOI: 10.1007/S11118-011-9234-0  0.425
2012 Dong H. Gradient Estimates for Parabolic and Elliptic Systems from Linear Laminates Archive For Rational Mechanics and Analysis. 205: 119-149. DOI: 10.1007/S00205-012-0501-Z  0.468
2011 Dong H. On similarity solutions to the multidimensional aggregation equation Siam Journal On Mathematical Analysis. 43: 1995-2008. DOI: 10.1137/110820427  0.362
2011 Dong H, Kim D. Parabolic and elliptic systems in divergence form with variably partially BMO coefficients Siam Journal On Mathematical Analysis. 43: 1075-1098. DOI: 10.1137/100794614  0.624
2011 Dong H, Kim D. Global Regularity of Weak Solutions to Quasilinear Elliptic and Parabolic Equations with Controlled Growth Communications in Partial Differential Equations. 36: 1750-1777. DOI: 10.1080/03605302.2011.571746  0.649
2011 Dong H, Kim D. Higher order elliptic and parabolic systems with variably partially BMO coefficients in regular and irregular domains Journal of Functional Analysis. 261: 3279-3327. DOI: 10.1016/J.Jfa.2011.08.001  0.625
2011 Dong H, Kim S. Partial Schauder estimates for second-order elliptic and parabolic equations Calculus of Variations and Partial Differential Equations. 40: 481-500. DOI: 10.1007/S00526-010-0348-9  0.53
2011 Dong H, Kim D. Lp solvability of divergence type parabolic and elliptic systems with partially BMO coefficients Calculus of Variations and Partial Differential Equations. 40: 357-389. DOI: 10.1007/S00526-010-0344-0  0.632
2011 Dong H. The Aggregation Equation with Power-Law Kernels: Ill-Posedness, Mass Concentration and Similarity Solutions Communications in Mathematical Physics. 304: 649-664. DOI: 10.1007/S00220-011-1237-6  0.33
2011 Dong H, Kim D. On the L p -Solvability of Higher Order Parabolic and Elliptic Systems with BMO Coefficients Archive For Rational Mechanics and Analysis. 199: 889-941. DOI: 10.1007/S00205-010-0345-3  0.626
2010 Dong H. Dissipative quasi-geostrophic equations in critical sobolev spaces: Smoothing effect and global well-posedness Discrete and Continuous Dynamical Systems. 26: 1197-1211. DOI: 10.3934/Dcds.2010.26.1197  0.516
2010 Dong H, Krylov NV. Second-order elliptic and parabolic equations with B(ℝ2, VMO) coefficients Transactions of the American Mathematical Society. 362: 6477-6494. DOI: 10.1090/S0002-9947-2010-05215-8  0.708
2010 Dong H. Solvability of parabolic equations in divergence form with partially BMO coefficients Journal of Functional Analysis. 258: 2145-2172. DOI: 10.1016/J.Jfa.2010.01.003  0.554
2010 Dong H, Li D. On the 2D critical and supercritical dissipative quasi-geostrophic equation in Besov spaces Journal of Differential Equations. 248: 2684-2702. DOI: 10.1016/J.Jde.2010.02.015  0.497
2010 Dong H, Kim D. Elliptic Equations in Divergence Form with Partially BMO Coefficients Archive For Rational Mechanics and Analysis. 196: 25-70. DOI: 10.1007/S00205-009-0228-7  0.694
2009 Dong H, Kim D. Parabolic and Elliptic Systems with VMO Coefficients Methods and Applications of Analysis. 16: 365-388. DOI: 10.4310/Maa.2009.V16.N3.A6  0.568
2009 Dong H, Li D. Optimal local smoothing and analyticity rate estimates for the generalized Navier-Stokes equations Communications in Mathematical Sciences. 7: 67-80. DOI: 10.4310/Cms.2009.V7.N1.A3  0.46
2009 Dong H, Du D, Li D. Finite time singularities and global well-posedness for fractal Burgers equations Indiana University Mathematics Journal. 58: 807-822. DOI: 10.1512/Iumj.2009.58.3505  0.507
2009 Dong H, Kim S. Green's matrices of second order elliptic systems with measurable coefficients in two dimensional domains Transactions of the American Mathematical Society. 361: 3303-3323. DOI: 10.1090/S0002-9947-09-04805-3  0.421
2009 Dong H, Pavlović N. A regularity criterion for the dissipative quasi-geostrophic equations Annales De L Institut Henri Poincare-Analyse Non Lineaire. 26: 1607-1619. DOI: 10.1016/J.Anihpc.2008.08.001  0.456
2009 Dong H, Du D. The Navier-Stokes Equations in the Critical Lebesgue Space Communications in Mathematical Physics. 292: 811-827. DOI: 10.1007/S00220-009-0852-Y  0.403
2009 Dong H, Pavlović N. Regularity Criteria for the Dissipative Quasi-Geostrophic Equations in Hölder Spaces Communications in Mathematical Physics. 290: 801-812. DOI: 10.1007/S00220-009-0756-X  0.419
2008 Dong H, Du D. Global well-posedness and a decay estimate for the critical dissipative quasi-geostrophic equation in the whole space Discrete and Continuous Dynamical Systems. 21: 1095-1101. DOI: 10.3934/Dcds.2008.21.1095  0.511
2008 Cho S, Dong H, Kim S. On the Green's matrices of strongly parabolic systems of second order Indiana University Mathematics Journal. 57: 1633-1678. DOI: 10.1512/Iumj.2008.57.3293  0.407
2008 Dong H, Kim S, Safonov M. On uniqueness of boundary blow-up solutions of a class of nonlinear elliptic equations Communications in Partial Differential Equations. 33: 177-188. DOI: 10.1080/03605300601188748  0.521
2008 Dong H. Well-posedness for a transport equation with nonlocal velocity Journal of Functional Analysis. 255: 3070-3097. DOI: 10.1016/J.Jfa.2008.08.005  0.441
2008 Dong H, Li D. Spatial Analyticity of the Solutions to the Subcritical Dissipative Quasi-geostrophic Equations Archive For Rational Mechanics and Analysis. 189: 131-158. DOI: 10.1007/S00205-007-0100-6  0.53
2007 Dong H, Krylov NV. On time-inhomogeneous controlled diffusion processes in domains Annals of Probability. 35: 206-227. DOI: 10.1214/009117906000000395  0.582
2007 Dong H, Krylov NV. The rate of convergence of finite-difference approximations for parabolic Bellman equations with Lipschitz coefficients in cylindrical domains Applied Mathematics and Optimization. 56: 37-66. DOI: 10.1007/S00245-007-0879-4  0.678
2007 Dong H, Du D. Partial Regularity of Solutions to the Four-Dimensional Navier-Stokes Equations at the First Blow-up Time Communications in Mathematical Physics. 273: 785-801. DOI: 10.1007/S00220-007-0259-6  0.506
2007 Dong H, Du D. On the Local Smoothness of Solutions of the Navier-Stokes Equations Journal of Mathematical Fluid Mechanics. 9: 139-152. DOI: 10.1007/S00021-005-0193-3  0.341
2006 Dong H, Krylov NV. On the rate of convergence of finite-difference approximations for Bellman equations with constant coefficients St Petersburg Mathematical Journal. 17: 295-313. DOI: 10.1090/S1061-0022-06-00905-8  0.671
2006 Dong H. Hessian equations with elementary symmetric functions Communications in Partial Differential Equations. 31: 1005-1025. DOI: 10.1080/03605300500481491  0.462
2005 Dong H. About smoothness of solutions of the heat equations in closed, smooth space-time domains Communications On Pure and Applied Mathematics. 58: 799-820. DOI: 10.1002/Cpa.20079  0.414
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