1. Existence, uniqueness and ergodic properties for time-homogeneous Itô-SDEs with locally integrable drifts and Sobolev diffusion coefficients 

   (with G. Trutnau)    (Tohoku Mathematical Journal 73 (2021), 159–198)   (Journal link)     (Arxiv link)

2.  Existence and regularity of infinitesimally invariant measures, transition functions and time homogeneous Itô-SDEs  

    (with G. Trutnau)   (Journal of Evolution Equations, 601-623(2021)  (Journal link)      (Arxiv link)

3.  Well-posedness for a class of degenerate Itô-Stochastic Differential Equations with fully discontinuous coefficients  

    (with G. Trutnau)     (Symmetry 2020, 12(4), 570)  Special Issue 'Advances in Stochastic Differential Equations'  

   (Journal link) For the detailed version, (Arxiv link)

4.  Existence and uniqueness of (infinitesimally) invariant measures for second order partial differential operators on Euclidean space   

    (with G. Trutnau)    (Journal of Mathematical Analysis and Applications, Volume 507, Issue 1, 1 March 2022, 125778)  

     (Journal link)   (Arxiv link)

5. (Book) Analytic theory of Itô-stochastic differential equations with non-smooth coefficients (with G. Trutnau, W. Stannat)   

     SpringerBriefs in Probability and Mathematical Statistics  2022 (SBPMS)   (Journal Link),     (Arxiv link)

6.  Conservativeness and uniqueness of invariant measures related to non-symmetric divergence type operators    

     (Stochastics 95 (2023), no.4, 635-661)      (Journal link)     (Arxiv link)

7.  On the pathwise uniqueness for a class of degenerate Itô-stochastic differential equations

    (Osaka Journal of Mathematics, 60 (2023), 533–543) (Journal link)    (Arxiv link)

8.  Strong uniqueness of finite dimensional Dirichlet operators with singular drifts

     (Infinite Dimensional Analysis, Quantum Probability and Related Topics, 26(2023), no.03, Paper No. 2350009)    

    (Journal link)       (Arxiv link) 

9.  On the contraction properties for weak solutions to linear elliptic equations with L2-drifts of negative divergence

     (Proceedings of the American Mathematical Society,  152(5), May 2024, page 2051–2068)      (Journal link)     (Arxiv link) 

10.  Error estimates of Physics-Informed Neural Networks for initial value problems   (with J. Yoo,  J. Kim,  M. Gim)

         (Journal of the Korean Society for Industrial and Applied Mathematics,  Vol. 28, No. 1, March, 2024, page 33-58) (Journal link)  

11.  Uniqueness in law for singular degenerate SDEs with respect to a (sub-)invariant measure  

      (with G. Trutnau) (Journal link) (Arxiv link) (Journal of Evolution Equations, Volume 25, article number 52, (2025))  

12.  Pointwise well-posedness results for degenerate Itô-SDEs with locally bounded drifts 

      (with G. Trutnau) (Arxiv link) 

13.  Uniform approximation by harmonic polynomials for solving the Dirichlet problem of Laplace's equation on a disk

      (Journal link)        (Arxiv link)    (Lithuanian Mathematical Journal, Volume 65, Issue 2)

14.  Robust error estimates of PINN in one-dimensional boundary value problems for linear elliptic equations

     (with J. Yoo)    (AIMS Mathematics (2024), Volume 9, Issue 10: 27000-27027)     (Journal link)   (Arxiv link)

15.  Analysis of linear elliptic equations with general drifts and L1-zero-order terms

      (Journal link) (Arxiv link)     (Journal of Mathematical Analysis and Applications, Volume 548, Issue 2, 15 August 2025, 129425)  

16.  On the stability of linear elliptic equations with L2-drifts of negative divergence and singular zero-order terms

      (to appear in Functional Analysis and Applications)

17.  Local elliptic regularity for solutions to stationary Fokker-Planck equations via Dirichlet forms and resolvents

       (Boundary Value Problems, 68 (2025))     (Journal link)     (Arxiv link)  

18.  Cholesky decomposition and well-posedness of Cauchy problem for Fokker-Planck equations with unbounded coefficients

      (AIMS Mathematics, AIMS Math. 10 (2025), no. 6, 13555–13574)     (Journal link)      (Arxiv link)  

19.  A critical exploration of the definitions of integrals in Korean high school mathematics

     (Journal link)      (East Asian Mathematical Journal, 2025, vol.41, no.2, pp. 109-128) 

20.  A weighted semigroup approach to exponential stability in linear parabolic equations

21.  Quantitative analysis for L2-estimates in linear elliptic equations via divergence-free transformation

22.  Well-posedness of divergence-form linear elliptic equations with Ld-drifts under divergence-type conditions and L1-zero-order terms

23.  Resolvent approaches to elliptic regularity in stationary Fokker–Planck equations

Analytic Approach to Invariant Measures and Itô-Stochastic Differential Equations

(Seoul National University, 2019.8)   (S-space link)