Hongjie Dong

Applied Mathematics · with Kim · 2007–2018

A researcher in the Science corpus: 15 papers; trusts 40 researchers and is trusted by 15 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 83 citations into it; #1,764 of 7,620 by trust here, #1,250 by citations
• Computational Theory and Mathematics — 52 citations into it; #4,086 of 12,182 by trust here, #4,696 by citations
• Mathematical Physics — 47 citations into it; #2,605 of 8,562 by trust here, #2,200 by citations
• Control and Systems Engineering — 9 citations into it; #7,757 of 8,257 by trust here, #7,501 by citations
• Numerical Analysis — 9 citations into it

Whom Hongjie Dong trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Nicolai V. Krylov
2. Hideyuki Miura
3. Sun-Sig Byun
4. Doyoon Kim
5. Alexander V. Kiselev
6. P. Auscher
7. Lihe Wang
8. Robert Haller-Dintelmann
9. Fedor Nazarov
10. Richard F. Bass

Who trusts Hongjie Dong overall

1. Doyoon Kim
2. Sun-Sig Byun
3. Zhongwei Shen
4. R. Mikulevičius
5. Michele Coti Zelati
6. D. Kriventsov
7. Terence Tao
8. Peipei Shang
9. Vlad Vicol
10. Yannick Sire

Papers from Hongjie Dong's perspective

Ordered by how strongly the researchers Hongjie Dong trusts endorse each paper. Same corpus, a different order for every researcher.

1. Nonlinear elliptic equations with BMO coefficients in Reifenberg domains
2. Parabolic and Elliptic Equations with VMO Coefficients
3. Gradient estimates for elliptic systems in non-smooth domains
4. Elliptic equations with measurable coefficients in Reifenberg domains
5. Elliptic Equations in Divergence Form with Partially BMO Coefficients
6. On weak uniqueness for some diffusions with discontinuous coefficients
7. Harnack Inequalities for Jump Processes
8. Controlled Markov processes and viscosity solutions
9. Sharp maximal functions associated with approximations of the identity in spaces of homogeneous type and applications
10. On the rate of convergence of finite-difference approximations for Bellmans equations with variable coefficients

Their papers

• Elliptic Equations in Divergence Form with Partially BMO Coefficients (2008) — 127 citations
• Schauder estimates for a class of non-local elliptic equations (2011) — 80 citations
• Lp solvability of divergence type parabolic and elliptic systems with partially BMO coefficients (2011) — 65 citations
• Higher order elliptic and parabolic systems with variably partially BMO coefficients in regular and irregular domains (2011) — 92 citations
• L-estimates for time fractional parabolic equations with coefficients measurable in time (2018) — 64 citations
• On $$C^1$$C1, $$C^2$$C2, and weak type-(1, 1) estimates for linear elliptic operators: part II (2017) — 75 citations
• On C1, C2, and weak type-(1,1) estimates for linear elliptic operators (2016) — 93 citations
• On $L_p$-estimates for elliptic and parabolic equations with $A_p$ weights (2016) — 112 citations
• Optimal Estimates for the Conductivity Problem by Green’s Function Method (2016) — 79 citations
• On the Lp-Solvability of Higher Order Parabolic and Elliptic Systems with BMO Coefficients (2010) — 124 citations
• The Navier-Stokes Equations in the Critical Lebesgue Space (2009) — 53 citations
• Well-posedness for a transport equation with nonlocal velocity (2008) — 67 citations
• Green's matrices of second order elliptic systems with measurable coefficients in two dimensional domains (2007) — 62 citations
• The Rate of Convergence of Finite-Difference Approximations for Parabolic Bellman Equations with Lipschitz Coefficients in Cylindrical Domains (2007) — 51 citations
• Dissipative quasi-geostrophic equations in critical Sobolev spaces: smoothing effect and global well-posedness (2007) — 78 citations