Jae-Hwan Choi(최재환)

(Updated 10th, July, 2024)

I am a postdoctoral researcher in the Department of Mathematical Sciences at Korea Advanced Institute of Science and Technology.

Affiliation: Department of Mathematical Sciences, KAIST

Address: 291, Daehak-ro, Yuseong-gu, Daejeon 34141, Republic of Korea

Email: jaehwanchoi (at) kaist (dot) ac (dot) kr

Resume

Employment

BK Postdoctoral Researcher, Department of Mathematical Sciences, KAIST, 2022. 09 ~ (Mentor: Prof. Jaeyoung Byeon)

Education

Ph.D. in Mathematics, Korea University, 2016.9~2022.8 (Advisor: Prof. Kyeong-Hun Kim)
B.S. in Mathematics, Korea University, 2010.3 ~ 2014.2

Research Interest

Deterministic and Stochastic Partial Differential Equations related to diffusion ; Well-posedness and optimal regularity of the solution in Sobolev (type) spaces
Differential operators ; Pseudo-differential operators with restricted smoothness, Non-local operators related to stochastic processes
Harmonic analysis ; Application to PDEs and SPDEs, e.g., Calderon-Zygmund theory, Littlewood-Paley theory, Multiplier theory, and Generalized stochastic process theory

Selected Publications

J.-H. Choi, I.Kim, A maximal Lp-regularity theory to initial value problems with time measurable nonlocal operators generated additive processes. Stochastics and Partial Differential Equations: Analysis and Computations, Volume 12, Issue 1, pages 352-415, 2024. [arXiv link 47 pages, Journal link 64 pages]
J.-H. Choi, J. Kang, D. Park, A regularity theory for parabolic equations with anisotropic non-local operators in Lq(Lp) spaces. SIAM Journal on Mathematical Analysis, Volume 56, No. 1, pages 1264-1299, 2024. [arXiv link 31 pages, Journal link 36 pages]
J.-H. Choi, I.Kim, A weighted Lp-regularity theory for parabolic partial differential equations with time measurable pseudo-differential operators. Journal of Pseudo-Differential Operators and Applications, Volume 14, Issue 4, Article no.55, 2023. [arXiv link 41 pages, Journal link 61 pages]
J.-H. Choi, K.-H. Kim, J. Ryu, Sobolev regularity theory for the non-local elliptic and parabolic equations on C^{1,1} open sets. Discrete and Continuous Dynamical Systems, Volume 43, Issue 9, pages 3338-3377, 2023. [arXiv link 42 pages, Journal link 40 pages]
J.-H. Choi, B.-S. Han, A regularity theory for stochastic partial differential equations with a super-linear diffusion coefficient and a spatially homogeneous colored noise. Stochastic Processes and their Applications, Volume 135, pages 1-30, 2021. [arXiv link 28 pages, Journal link 30 pages]

Teaching

2017 spring semester - 2022 spring semester, Teaching Fellow at Korea University (Certification)

Course : Analysis (1,2,3), ODE, Probability and Statistics, Set theory, Linear Algebra 1.

Awards, Honors, Fellowships, and Grants

Creative Challenge Research Grant (Principal Investigator), June 2023 ~ May 2026