Panki Kim

Mathematical Physics · 2002–2014

A researcher in the Science corpus: 20 papers; trusts 26 researchers and is trusted by 26 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 98 citations into it; #1,652 of 8,562 by trust here, #810 by citations
• Applied Mathematics — 83 citations into it; #556 of 7,620 by trust here, #327 by citations
• Computational Theory and Mathematics — 61 citations into it; #1,304 of 12,182 by trust here, #1,233 by citations
• Finance — 42 citations into it; #1,387 of 10,518 by trust here, #1,110 by citations
• Statistics and Probability — 28 citations into it
• Management Science and Operations Research — 15 citations into it; #5,906 of 11,946 by trust here, #5,548 by citations
• Statistical and Nonlinear Physics — 9 citations into it
• Computational Mechanics — 7 citations into it

Whom Panki Kim trusts overall

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

1. Zhen-Qing Chen
2. Renming Song
3. Krzysztof Bogdan
4. Richard F. Bass
5. Zoran Vondraček
6. Takashi Kumagai
7. M. Ryznar
8. Wolfhard Hansen
9. David A. Levin
10. Qi S. Zhang

Who trusts Panki Kim overall

1. Zhen-Qing Chen
2. Krzysztof Bogdan
3. T. Grzywny
4. Renming Song
5. M. Ryznar
6. Tadeusz Kulczycki
7. Mateusz Kwaśnicki
8. Juan Luis V'azquez
9. Zoran Vondraček
10. A. Kulik

Papers from Panki Kim's perspective

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

1. Harnack Inequalities for Jump Processes
2. The Boundary Behavior of Heat Kernels of Dirichlet Laplacians
3. Transition Probabilities for Symmetric Jump Processes
4. Estimates of Heat Kernel of Fractional Laplacian Perturbed by Gradient Operators
5. Classical Potential Theory
6. Dirichlet heat kernel estimates for fractional Laplacian with gradient perturbation
7. Drift transforms and Green function estimates for discontinuous processes
8. Heat kernel estimates for stable-like processes on d-sets
9. Estimates of Green Function for Relativistic α-Stable Process
10. Systems of equations driven by stable processes

Their papers

• Heat kernel estimates for the Dirichlet fractional Laplacian (2009) — 264 citations
• Two-sided heat kernel estimates for censored stable-like processes (2010) — 95 citations
• Weighted Poincaré inequality and heat kernel estimates for finite range jump processes (2008) — 107 citations
• Potential theory of truncated stable processes (2006) — 48 citations
• Two-sided estimates on the density of Brownian motion with singular drift (2006) — 71 citations
• Stable process with singular drift (2014) — 48 citations
• Harnack inequalities for subordinate Brownian motions (2012) — 54 citations
• Two‐sided Green function estimates for killed subordinate Brownian motions (2010) — 60 citations
• Dirichlet heat kernel estimates for Δα/2 + Δβ/2 (2010) — 58 citations
• Parabolic Littlewood–Paley inequality for ϕ(−Δ)-type operators and applications to stochastic integro-differential equations (2013) — 48 citations
• Dirichlet heat kernel estimates for rotationally symmetric Lévy processes (2013) — 65 citations
• Boundary Harnack principle for Δ+Δ^{/2} (2012) — 107 citations
• Global uniform boundary Harnack principle with explicit decay rate and its application (2012) — 85 citations
• Potential theory of subordinate Brownian motions revisited (2011) — 84 citations
• Corrigendum to “Global heat kernel estimates for symmetric jump processes” (2011) — 124 citations
• Uniform boundary Harnack principle for rotationally symmetric Lévy processes in general open sets (2011) — 48 citations
• Dirichlet heat kernel estimates for fractional Laplacian with gradient perturbation (2010) — 110 citations
• On heat kernel estimates and parabolic Harnack inequality for jump processes on metric measure spaces (2009) — 71 citations
• Boundary Harnack principle for subordinate Brownian motions (2007) — 61 citations
• Green function estimate for censored stable processes (2002) — 74 citations