Krzysztof Bogdan

Applied Mathematics · 2000–2017

A researcher in the Science corpus: 19 papers; trusts 44 researchers and is trusted by 50 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 107 citations into it; #175 of 7,620 by trust here, #204 by citations
• Mathematical Physics — 73 citations into it; #639 of 8,562 by trust here, #554 by citations
• Finance — 54 citations into it; #1,528 of 10,518 by trust here, #1,689 by citations
• Computational Theory and Mathematics — 46 citations into it; #417 of 12,182 by trust here, #663 by citations
• Management Science and Operations Research — 15 citations into it; #7,317 of 11,946 by trust here, #3,572 by citations
• Statistics and Probability — 10 citations into it
• Control and Systems Engineering — 5 citations into it
• Numerical Analysis — 5 citations into it

Whom Krzysztof Bogdan trusts overall

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

1. Zhen-Qing Chen
2. Paweł Sztonyk
3. Renming Song
4. Panki Kim
5. M. Ryznar
6. Wolfhard Hansen
7. Rodrigo Bañuelos
8. T. Grzywny
9. Tadeusz Kulczycki
10. Qingyang Guan

Who trusts Krzysztof Bogdan overall

1. T. Grzywny
2. Xavier Ros-Oton
3. Panki Kim
4. Tomasz Jakubowski
5. Zhen-Qing Chen
6. Paweł Sztonyk
7. M. Ryznar
8. Mateusz Kwaśnicki
9. Wolfhard Hansen
10. Bartłlomiej Dyda

Papers from Krzysztof Bogdan's perspective

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

1. Harnack Inequalities for Jump Processes
2. Sharp Estimates for the Green Function in Lipschitz Domains
3. Harnack’s Inequality for Stable Lévy Processes
4. Estimates of Heat Kernel of Fractional Laplacian Perturbed by Gradient Operators
5. Estimates of Green Function for Relativistic α-Stable Process
6. Dirichlet heat kernel estimates for fractional Laplacian with gradient perturbation
7. The Boundary Behavior of Heat Kernels of Dirichlet Laplacians
8. Heat kernel estimates for jump processes of mixed types on metric measure spaces
9. Heat kernel estimates for stable-like processes on d-sets
10. Harnack inequality for some classes of Markov processes

Their papers

• Estimates of Heat Kernel of Fractional Laplacian Perturbed by Gradient Operators (2007) — 249 citations
• Heat kernel estimates for the fractional Laplacian with Dirichlet conditions (2009) — 148 citations
• Sharp Estimates for the Green Function in Lipschitz Domains (2000) — 84 citations
• Estimates of the potential kernel and Harnack's inequality for the anisotropic fractional Laplacian (2005) — 76 citations
• Estimates and structure of α-harmonic functions (2006) — 118 citations
• On Kelvin Transformation (2006) — 70 citations
• Boundary Harnack inequality for Markov processes with jumps (2012) — 78 citations
• Harnack inequality for stable processes on d-sets (2003) — 110 citations
• The best constant in a fractional Hardy inequality (2008) — 119 citations
• Potential Analysis of Stable Processes and its Extensions (2009) — 282 citations
• Barriers, exit time and survival probability for unimodal Lévy processes (2013) — 67 citations
• Fractional Laplacian with Hardy potential (2017) — 57 citations
• Dirichlet heat kernel for unimodal Lévy processes (2014) — 57 citations
• Density and tails of unimodal convolution semigroups (2013) — 157 citations
• Estimates of the Green Function for the Fractional Laplacian Perturbed by Gradient (2010) — 71 citations
• Levy processes and Fourier multipliers (2006) — 86 citations
• Harnack’s Inequality for Stable Lévy Processes (2005) — 63 citations
• Symmetric Stable Processes in Cones (2004) — 48 citations
• Gradient estimates for harmonic and $q$-harmonic functions of symmetric stable processes (2002) — 130 citations