Kyung-Youn Kim
金 璟 允 김 경 윤
Assistant Professor in Department of Applied Mathematics, National Chung Hsing University, Taiwan
助理教授, 國立中興大學應用數學系
kykim@nchu.edu.tw
Academic Positions
August 2021 -- Present : Assistant Professor at Department of Applied Mathematics, National Chung Hsing University, Taichung, Taiwan
August 2020 - July 2021: Adjunct Assistant Professor at Mathematical Sciences, National Chengchi University, Taipei, Taiwan
October 2018 - September 2020: Postdoctoral Fellow, Institute of Mathematics, Academia Sinica, Taipei, Taiwan
October 2016 - September 2018: Postdoctoral Fellow, Faculty of Mathematics, Bielefeld University, Germany
October 2015 - September 2016: Postdoctoral Fellow, Institute of Mathematical stochastic, TU - Dresden, Germany
Education
March 2011 - August 2015 Ph.D in Mathematical Sciences, Seoul National university
March 2009 - February 2011 M.S. in Mathematical Sciences, Seoul National university
March 2004 - February 2009 B.S. in Mathematics Education, Ewha Womans University
Publication
Variational formulas for the exit time of Hunt processes generated by semi-Dirichlet forms. (with Lu-Jing Huang, Yong-Hua Mao and Tao Wang), Stochastic processes and their applications. 148: 380–399. June 2022.
Variational formulas for the mean exit time of non-symmetric diffusions. (with Lu-Jing Huang and Yong-Hua Mao), 2021+, Submitted, Arkiv: https://arxiv.org/abs/2006.16446
Heat kernel bounds for nonlocal operators with singular kernels. (with Moritz Kassmann and Takashi Kumagai), Journal de Mathematiques Pures et Appliquees. 164: 1--26. August 2022.
Heat kernel bounds for a large class of Markov process with singular jump. (with Lidan Wang), Stochastic processes and their applications. 145: 165-203, March 2022.
Estimates of Dirichlet heat kernel for symmetric Markov processes. (with Tomasz Grzywny and Panki Kim), Stochastic processes and their applications. 130(1): 431--470, January 2020.
Global heat kernel estimates for symmetric Markov processes dominated by stable-like processes in exterior C^{1,η} open sets, Potential Analysis, 43(2): 127--148, August 2015.
Two-sided estimates for the transition densities of symmetric Markov processes dominated by stable-like processes in C^{1,η} open sets (with Panki Kim), Stochastic Processes and their Applications 124(9): 3055--3083, September 2014.
Erratum to: “Two-sided estimates for the transition densities of symmetric Markov processes dominated by stable-like processes in C 1,η open sets” [Stochastic Process. Appl. 124(9) (2014), 3055-3083] by K. Kim and P. Kim, Stochastic Processes and their Applications, 129(6), 2228-2230, June 2019.