Published papers
(with K. Kang and H. Kim) Existence of weak solutions for fast diffusion equation with a divergence type of drift term, arXiv:2501.09539 [math.AP], https://doi.org/10.48550/arXiv.2501.09539.
(with K. Kang and H. Kim and J. Park) Existence of weak solutions for nonlinear drift-diffusion equations with measure data, arXiv:2501.07847 [math.AP], https://doi.org/10.48550/arXiv.2501.07847.
(with K. Kang and H. Kim) Existence of weak solutions for porous medium equation with a divergence type of drift term in a bounded domain, Journal of Differential Equations, Vol. 389 (2024), pp. 361-414 https://doi.org/10.1016/j.jde.2024.01.028 .
(with K. Kang and H. Kim) Existence of weak solutions for porous medium equation with a divergence type of drift, Calc. Var. Partial Differential Equations 62 (2023), no. 4, Paper No. 126, 92 pp. https://link.springer.com/article/10.1007/s00526-023-02451-4
(with Y. Zhang) Continuity results for degenerate diffusion equations with L^{p}_{t} L^{q}_{x} drifts, Nonlinear Analysis. Vol. 211 (2021) 112413, https://doi.org/10.1016/j.na.2021.112413 .
(with M. Dindos & M. Mitrea) The L^p Dirichlet boundary problem for second order Elliptic Systems with rough coefficients, Transactions of the AMS , Vol. 372 (2021), no. 5, pp. 3659 - 3701, https://www.ams.org/journals/tran/2021-374-05/S0002-9947-2021-08306-3/ .
(with M. Dindos & L. Dyer) Parabolic L^p Dirichlet boundary value problem and VMO-type time-varying domains, Analysis & PDE, Vol. 13 (2020), no. 4, pp. 1221-1268, https://msp.org/apde/2020/13-4/p09.xhtml.
(with K. Adimurthi) Uniform boundedness for weak solutions of quasilinear parabolic equations, Proc. Amer. Math. Soc. , Vol. 148 (2020), pp. 653-665, https://doi.org/10.1090/proc/14667.
(with S. Kim) Green's function for second order elliptic equations in non-divergence form, Potential Anal., Vol 52 (2020), pp. 27–39 . https://doi.org/10.1007/s11118-018-9729-z .
(with M. Dindos) The Dirichlet boundary problem for second order parabolic operators satisfying a Carleson condition, Revista Mathematica Iberoamericana, Vol. 34 (2018), no. 2, pp. 767-810.
(with Y. Chung, K. Kang & J. Kim) Holder continuity of Keller–Segel equations of porous medium type coupled to fluid equations, Journal of Differential Equations, Vol. 263 (2017), No. 4, pp. 2157-2212.
(with G. Lieberman) Holder continuity of bounded weak solutions to generalized parabolic p-Laplacian equations I: degenerate case, Electronic Journal of Differential Equations, Vol. 2015 (2015), No. 287, pp. 1-32.
(with G. Lieberman) Holder continuity of bounded weak solutions to generalized parabolic p-Laplacian equations II: singular case, Electronic Journal of Differential Equations, Vol. 2015 (2015), No. 288, pp. 1-24.
Theses
Holder regularity of solutions of generalized p-Laplacian type parabolic equations (2012), Doctoral thesis, Graduate Theses and Dissertations, http://lib.dr.iastate.edu/etd/12667
Support vector machine via semidefinite and second order cone programming relaxation methods (2007), Master's thesis, South Korea National Assembly Library