Education

• Bachelor : Mar, 2005 - Feb, 2008 at Korea University
• Ph.D : Mar, 2008 - Feb, 2014 at Korea University

Career

• Reserch Professor : Mar, 2014 - Feb, 2016 at Korea University
• Reserach Fellow : Mar, 2016 - Feb, 2018 at KIAS (Korea Institute for Advanced Study)
• Assistant Professor : Mar, 2018 - Feb, 2021 at Korea University
• Associate Professor : Mar, 2021 - Feb, 2026 at Korea University
• Professor : Mar, 2026 - Present at Korea University
• Associate Dean of Admissions : Mar, 2026 - Present at Korea University

• 26. Choi, Jae-Hwan; Kim, Ildoo; Lee, Jin Bong.
• A regularity theory for an initial value problem with a time-measurable pseudo-differential operator in a weighted Lp-space.
• Potential Anal. 64 (2026), no. 1, Paper No. 28, 54 pp.


• 25. Choi, Jae-Hwan; Kim, Ildoo.
• An existence and uniqueness result to evolution equations with sign-changing pseudo-differential operators and its applications to logarithmic Laplacian operators and second-order differential operators without ellipticity.
• J. Pseudo-Differ. Oper. Appl. 16 (2025), no. 4, Paper No. 75, 65 pp.


• 24. Kim, Ildoo.
• A weighted Lq(Lp)-theory for fully degenerate second-order evolution equations with unbounded time-measurable coefficients.
• Stoch. Partial Differ. Equ. Anal. Comput. 13 (2025), no. 1, 80–106.


• 23. Choi, Jae-Hwan; Kim, Ildoo.
• A maximal L_p-regularity theory to initial value problems with time measurable nonlocal operators generated by additive processes.
• Stoch. Partial Differ. Equ. Anal. Comput.} 12 (2024), no. 1, 352–415.


• 22. Choi, Jae-Hwan; Kim, Ildoo.
• A weighted L_p-regularity theory for parabolic partial differential equations with time-measurable pseudo-differential operators.
• J. Pseudo-Differ. Oper. Appl. 14 (2023), no. 4, Paper No. 55, 61 pp.


• 21. Hwang, Youngjin; Kim, Ildoo; Kwak, Soobin; Ham, Seokjun; Kim, Sangkwon; Kim, Junseok.
• Unconditionally stable monte carlo simulation for solving the multi-dimensional Allen–Cahn equation.
• Electron. Res. Arch. 31 (2023), no. 8, 5104–5123.


• 20. Kim, Ildoo; Kim, Kyeong-Hun.
• A sharp L_p-regularity result for second-order stochastic partial differential equations with unbounded and fully degenerate leading coefficients.
• J. Differential Equations 371 (2023), 260–298.


• 19. Kim, Ildoo.
• An Lp-maximal regularity estimate of moments of solutions to second-order stochastic partial differential equations.
• Stoch. Partial Differ. Equ. Anal. Comput. 10 (2022), no. 1, 278–316.


• 18. Kim, Ildoo; Kim, Kyeong-Hun.
• On the Lp-boundedness of the stochastic singular integral operators and its application to Lp-regularity theory of stochastic partial differential equations
• Trans. Amer. Math. Soc. 373 (2020), no. 8, 5653–5684.


• 17. Kim, Ildoo; Kim, Kyeong-hun; Lim, Sungbin.
• A Sobolev space theory for stochastic partial differential equations with time-fractional derivatives.
• Ann. Probab. 47 (2019), no. 4, 2087–2139.


• 16. Kim, Ildoo; Kim, Kyeong-Hun; Kim, Panki.
• An Lp-theory for diffusion equations related to stochastic processes with non-stationary independent increment
• Trans. Amer. Math. Soc. 371 (2019), no. 5, 3417–3450.


• 15. Kim, Ildoo; Kim, Kyeong-Hun.
• On the second order derivative estimates for degenerate parabolic equations
• J. Differential Equations 265 (2018), no. 11, 5959–5983.


• 14. Kim, Ildoo.
• An Lp-Lipschitz theory for parabolic equations with time measurable pseudo-dierential operators.
• Communication on pure and applied analysis 17 (2018), no. 6, 2751-2771.


• 13. Kim, Ildoo; Kim, Kyeong-Hun.
• A regularity theory for the parabolic SPDEs having coefficients depending on the solutions.
• Stochastic Process and their Applications. 128 (2018), no. 2, 622–643.


• 12. Kim, Ildoo; Kim, Kyeong-Hun; Lim, Sungbin.
• An Lq(Lp)-theory for the time fractional evolution equations with variable coefficients.
• Advances in Mathematics. 306 (2017), 123–176.


• 11. Kim, Ildoo; Lim, Sungbin; Kim, Kyeong-Hun.
• An Lq(Lp)-theory for parabolic pseudo-differential equations: Calderón-Zygmund approach.
• Potential Analysis. 45 (2016), no. 3, 463–483.


• 10. Kim, Ildoo; Kim, Kyeong-Hun.
• An Lp-theory for stochastic partial differential equations driven by Lévy processes with pseudo-differential operators of arbitrary
• order.
• Stochastic Process and their Applications. 126 (2016), no. 9, 2761–2786.


• 9. Kim, Ildoo; Kim, Kyeong-Hun; Lim, Sungbin.
• Parabolic Littlewood–Paley inequality for a class of time-dependent pseudo-differential operators of arbitrary order, and
• applications to high-order stochastic PDE.
• Journal of Mathematical Analysis and Applications. 436 (2016), no. 2,
• 1023-1047.


• 8. Kim, Ildoo; Kim, Kyeong-Hun.
• An Lp-theory for a class of non-local elliptic equations related to nonsymmetric measurable kernels.
• Journal of Mathematical Analysis and Applications. 434 (2016), no. 2,
• 1302-1335.


• 7. Kim, Ildoo; Kim, Kyeong-Hun.
• A Hölder regularity theory for a class of non-local elliptic equations related to subordinate Brownian motions.
• Potential Analysis. 43 (2015), no. 4, 653-673.


• 6. Kim, Ildoo.
• A BMO estimate for stochastic singular integral operators and its application to SPDEs.
• Journal of Functional Analysis. 269 (2015), no. 5, 1289-1309.


• 5. Kim, Ildoo; Kim, Kyeong-Hun; Lim, Sungbin.
• Parabolic BMO estimates for pseudo-differential operators of arbitrary order.
• Journal of Mathematical Analysis and Applications. 427 (2015), no. 2,
• 557-580.


• 4. Kim, Ildoo; Kim, Kyeong-Hun.
• Some Lp and Hölder estimates for divergence type nonlinear SPDEs on C1-domains.
• Potential Analysis. 41 (2014), no. 2, 583-612.


• 3. Kim, Ildoo; Kim, Kyeong-Hun; Lee, Kijung.
• A weighted Lp-theory for divergence type parabolic PDEs with BMO coefficients on C1-domains.
• Journal of Mathematical Analysis and Applications. 412 (2014), no. 2,
• 589-612.


• 2. Kim, Ildoo; Kim, Kyeong-Hun; Kim, Panki.
• Parabolic Littlewood-Paley inequality for ϕ(Δ)-type operators and applications to stochastic integro-differential equations.
• Advances in Mathematics. 249 (2013), 161-203.


• 1. Kim, Ildoo; Kim, Kyeong-Hun.
• A generalization of the Littlewood-Paley inequality for the fractional Laplacian
• Journal of Mathematical Analysis and Applications. 388 (2012), no. 1,
• 175-190.

Stochastic Partial Differential Equations

• Partial Differential Equations
• Harmonic Analysis
• Probability

First Semester of 2018 : Calculus I, Differential Equations

박대한, 한범석, 최재환, 서진솔, 유준희