World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
35
Citations
3827
World Ranking
2825
National Ranking
14

Overview

Panki Kim is affiliated with Seoul National University in South Korea and specializes in the field of Mathematics. Their research broadly covers Applied Mathematics, Mathematical Physics, and Computational Theory and Mathematics, with additional work intersecting Radiology, Nuclear Medicine and Imaging, as well as Finance. Their publications reflect a primary focus on nonlinear partial differential equations, advanced mathematical modeling in engineering, stochastic processes, and harmonic analysis.

Their recent papers include:

  • Factorization and estimates of Dirichlet heat kernels for non-local operators with critical killings, 2020, Journal de Mathématiques Pures et Appliquées
  • On Potential Theory of Markov Processes with Jump Kernels Decaying at the Boundary, 2021, Potential Analysis
  • Heat kernel upper bounds for symmetric Markov semigroups, 2021, Journal of Functional Analysis
  • The image quality and diagnostic accuracy of T1-mapping-based synthetic late gadolinium enhancement imaging: comparison with conventional late gadolinium enhancement imaging in real-life clinical situation, 2022, Journal of Cardiovascular Magnetic Resonance
  • Heat kernels for reflected diffusions with jumps on inner uniform domains, 2022, Transactions of the American Mathematical Society

The frequent co-authors who have collaborated with Panki Kim include:

  • Renming Song
  • Zoran Vondraček
  • Soobin Cho
  • Jaehun Lee
  • Zhen-Qing Chen

Panki Kim has published regularly in several venues, with the most frequent publishers of their work being:

  • arXiv (Cornell University)
  • Journal of Cardiovascular Magnetic Resonance
  • Stochastic Processes and their Applications
  • Journal of Functional Analysis
  • Journal of Differential Equations

Their main fields of study are:

  • Mathematics

Their subfields of study include:

  • Applied Mathematics
  • Mathematical Physics
  • Computational Theory and Mathematics
  • Radiology, Nuclear Medicine and Imaging
  • Finance

Key topics that Panki Kim has worked on encompass:

  • Nonlinear Partial Differential Equations
  • Advanced Mathematical Modeling in Engineering
  • Stochastic processes and statistical mechanics
  • Stochastic processes and financial applications
  • Advanced mathematical theories
  • Geometric Analysis and Curvature Flows
  • Advanced Harmonic Analysis Research

Best Publications

  • Heat kernel estimates for the Dirichlet fractional Laplacian

    Zhen Qing Chen;Panki Kim;Renming Song

  • Heat Kernel Estimates for Dirichlet Fractional Laplacian

    Panki Kim;Zhen-Qing;Renming Song

  • Global heat kernel estimates for symmetric jump processes

    Zhen-Qing Chen;Panki Kim;Takashi Kumagai

  • Dirichlet heat kernel estimates for fractional Laplacian with gradient perturbation

    Zhen Qing Chen;Panki Kim;Renming Song

  • Weighted Poincaré inequality and heat kernel estimates for finite range jump processes

    Zhen-Qing Chen;Panki Kim;Takashi Kumagai

  • Boundary Harnack principle for $\Delta + \Delta^{; ; ; ; ; lpha/2}; ; ; ; ; $

    Zhen Qing Chen;Panki Kim;Renming Song;Zoran Vondraček

  • Fractional time stochastic partial differential equations

    Zhen Qing Chen;Kyeong Hun Kim;Panki Kim

  • Potential theory of subordinate Brownian motions revisited

    Panki Kim;Renming Song;Zoran Vondracek

  • Two-sided heat kernel estimates for censored stable-like processes

    Zhen Qing Chen;Panki Kim;Renming Song

  • Sharp heat kernel estimates for relativistic stable processes in open sets

    Zhen Qing Chen;Panki Kim;Renming Song

  • On heat kernel estimates and parabolic Harnack inequality for jump processes on metric measure spaces

    Zhen-Qing Chen;Zhen-Qing Chen;Panki Kim;Takashi Kumagai

  • Global uniform boundary Harnack principle with explicit decay rate and its application

    Panki Kim;Renming Song;Zoran Vondraček

  • Dirichlet heat kernel estimates for rotationally symmetric Lévy processes

    Zhen Qing Chen;Panki Kim;Renming Song

  • Green function estimate for censored stable processes

    Zhen-Qing Chen;Panki Kim

  • Green function estimates for subordinate Brownian motions : stable and beyond

    Panki Kim;Ante Mimica

  • Potential theory of truncated stable processes

    Panki Kim;Renming Song

  • Two-sided Green function estimates for killed subordinate Brownian motions

    Panki Kim;Renming Song;Zoran Vondraček

  • Two-sided estimates on the density of Brownian motion with singular drift

    Panki Kim;Renming Song

  • Boundary Harnack Principle for Subordinate Brownian Motions

    Panki Kim;Renming Song;Zoran Vondraček

  • Uniform boundary Harnack principle for rotationally symmetric Lévy processes in general open sets

    Panki Kim;Ren Ming Song;Zoran Vondraček

  • Dirichlet heat kernel estimates for $\Delta^{lpha/2}+ \Delta^{eta/2}$

    Zhen Qing Chen;Panki Kim;Renming Song

Frequent Co-Authors

Renming Song
Renming Song University of Illinois at Urbana-Champaign
Zhen-Qing Chen
Zhen-Qing Chen University of Washington
Takashi Kumagai
Takashi Kumagai Waseda University
Raymond J. Kim
Raymond J. Kim Duke University

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