Education

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

Academic 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 - Present at Korea University

Accepted Papers

• 1. Kim, Ildoo; Kim, Kyeong-Hun; Kim, Panki.
• An Lp-theory for diusion equations related to stochastic processes with nonstationary independent increment.
• To appear in Transactions of the American Mathematical Society.
• 2. Kim, Ildoo; Lim, Sungbin; Kim, Kyeong-Hun.
• A Sobolev space theory for stochastic partial dierential equations with time-fractional derivatives.
• To appear in Annals of Probability.

Published Papers

• 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 (􀀀Δ)/2.
• 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