About me
I received my Ph.D. in February 2021 from the Korea University under the guidance of Kyeonghun Kim.
From March 2021 to February 2023, I was a postdoctoral fellow at POSTECH.
From February 2023 to August 2023, I was a research assistant professor at KAIST.
I am now an assistant professor at Sungshin Women's University.
Email: b_han@sungshin.ac.kr
[Google scholar], [CV]
Research interest
Regularity theory for nonlinear stochastic partial differential equations.
Regularity theory for partial differential equations with nonlocal operators.
Qualitative behavior of a solution to stochastic partial differential equations.
Publications
10. Beom-Seok Han, Lp-solvability and Hölder regularity for stochastic time fractional Burgers’ equations driven by multiplicative space-time white noise, Accepted, Stochastics and Partial Differential Equations: Analysis and Computations.
9. Beom-Seok Han, Jaeyun Yi, Lp-regularity theory for the stochastic reaction-diffusion equation with super-linear multiplicative noise and strong dissipativity, Journal of Differential Equations, 379, 569–599, 2024.
8. Beom-Seok Han, A regularity theory for stochastic generalized Burgers’ equation driven by a multiplicative space-time white noise, Stochastics and Partial Differential Equations: Analysis and Computations, 11(3), 1123--1163, 2023.
7. Beom-Seok Han, Kunwoo Kim, Jaeyun Yi, The compact support property for solutions to the stochastic partial differential equations with colored noise, SIAM Journal on Mathematical Analysis, 55(6), 7665-7703, 2023.
6. Beom-Seok Han, Lp-regularity theory for semilinear stochastic partial differential equations with multiplicative white noise, Journal of Mathematical Analysis and Applications, 514(1), 126366, 2022.
5. Jae-hwan Choi, Beom-Seok Han*, A regularity theory for stochastic partial differential equation with a super-linear diffusion coefficient and a spatially homogeneous colored noise, Stochastic Processes and Their Applications, 135, 1–30, 2021.
4. Beom-Seok Han, A regularity theory for stochastic partial differential equations driven by multiplicative space-time white noise with the random fractional Laplacians, Stochastics and Partial Differential Equations: Analysis and Computations, 9, 940–983, 2021.
3. Beom-Seok Han, Kyeonghun Kim, Daehan Park*, A weighted Sobolev space theory for the diffusion-wave equations with time-fractional derivatives on C1 domain, Discrete and Continuous Dynamical System, 41(7), 3415–3445, 2021.
2. Beom-Seok Han, Kyeonghun Kim, Daehan Park*, Weighted Lq(Lp)-estimate with Muckenhoupt weights for the diffusion-wave equations with time-fractional derivatives, Journal of Differential Equations, 269, 4, 3515–3550, 2020.
1. Beom-Seok Han, Kyeonghun Kim*, Boundary behavior and interior Hölder regularity of solution to nonlinear stochastic partial differential equation driven by space-time white noise, Journal of Differential Equations, 269, 9904–9935, 2020.
Teaching
Fall, 2023
CA002600 Partial Differential Equations and Its Applications
CA040700 Mathematical Modeling and Differential Equations
SA045900 Calculus and Vector Analysis
Spring, 2023
MAS250(A) Probability and Statistics
Awards and Honors
Sejong Science Fellowship, National Research Foundation of Korea, received in 2021.