• 연구실 : 팔달관 612호
• 연구실 전화 : 1936
• 이메일 : kijung@ajou.ac.kr
• 연구관심분야 : 확률편미분방정식
• 홈페이지 :

• 2004.06 Univ Minnesota -Twin Cities 박사

 편미분 방정식과 random noise를  이용히여 확산현상을 모델링하고 해석한다:
-  Random noise 의 모델링
-  해의 정칙성 연구
-  해의 확률적인 behavior 연구

1. [논문] 이기정, 김경훈, 서진솔, Sobolev space theory and Hölder estimates for the stochastic partial differential equations on conic and polygonal domains , Journal of Differential Equations , Vol.340 , pp.463 -520 (Dec, 2022)
2. [논문] 이기정, 김도윤, 김경훈, PARABOLIC SYSTEMS WITH MEASURABLE COEFFICIENTS IN WEIGHTED SOBOLEV SPACES , COMMUNICATIONS ON PURE AND APPLIED ANALYSIS , Vol.21 , No.8 , pp.2587 -2613 (Aug, 2022)
3. [논문] 김경훈, 서진솔, 이기정, A refined Greens function estimate of the time measurable parabolic operators with conic domains , POTENTIAL ANALYSIS , Vol.56 , No.2 , pp.317 -331 (Feb, 2022)
4. [논문] 이기정, 김경훈, 서진솔, A weighted Sobolev regularity theory of the parabolic equations with measurable coefficients on conic domains in R^d , JOURNAL OF DIFFERENTIAL EQUATIONS , Vol.291 , pp.154 -194 (Aug, 2021)
5. [논문] 이기정, 김경훈, Petru A.Cioica-Licht, On the regularity of the stochastic heat equation on polygonal domains in R2 , JOURNAL OF DIFFERENTIAL EQUATIONS , Vol.267 , pp.6447 -6479 (Nov, 2019)

1. [논문] 이기정, 김경훈, 서진솔, Sobolev space theory and Hölder estimates for the stochastic partial differential equations on conic and polygonal domains , Journal of Differential Equations , Vol.340 , pp.463 -520 (Dec, 2022)
2. [논문] 이기정, 김도윤, 김경훈, PARABOLIC SYSTEMS WITH MEASURABLE COEFFICIENTS IN WEIGHTED SOBOLEV SPACES , COMMUNICATIONS ON PURE AND APPLIED ANALYSIS , Vol.21 , No.8 , pp.2587 -2613 (Aug, 2022)
3. [논문] 김경훈, 서진솔, 이기정, A refined Greens function estimate of the time measurable parabolic operators with conic domains , POTENTIAL ANALYSIS , Vol.56 , No.2 , pp.317 -331 (Feb, 2022)
4. [논문] 이기정, 김경훈, 서진솔, A weighted Sobolev regularity theory of the parabolic equations with measurable coefficients on conic domains in R^d , JOURNAL OF DIFFERENTIAL EQUATIONS , Vol.291 , pp.154 -194 (Aug, 2021)
5. [논문] 이기정, 김경훈, Petru A.Cioica-Licht, On the regularity of the stochastic heat equation on polygonal domains in R2 , JOURNAL OF DIFFERENTIAL EQUATIONS , Vol.267 , pp.6447 -6479 (Nov, 2019)
6. [논문] 이기정, Lindner, Felix, 김경훈, Cioica-Licht, Petru A., An L_P-estimate for the stochastic heat equation on an angular domain in R^2 , STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS:ANALYSIS AND COMPUTATIONS , Vol.6 , No.1 , pp.45 -72 (May, 2018)
7. [논문] 이기정, 김경훈, On the heat diffusion starting with degeneracy , JOURNAL OF DIFFERENTIAL EQUATIONS , Vol.262 , No.3 , pp.2722 -2744 (Feb, 2017)
8. [논문] 이기정, 김경훈, A weighted L_p-theory for second-order parabolic and elliptic partial differential systems on a half space , COMMUNICATIONS ON PURE AND APPLIED ANALYSIS , Vol.15 , No.3 , pp.761 -794 (May, 2016)
9. [논문] 이기정, 김일두, 김경훈, A weighted Lp-theory for divergence type parabolic PDEs with BMO coefficients on C1-domains , JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS , Vol.412 , No.2 , pp.589 -612 (Apr, 2014)
10. [논문] 이기정, 양민석, 장통근, On Initial-Boundary Value Problem of the Stochastic Heat Equation in Lipschitz Cylinders , JOURNAL OF THEORETICAL PROBABILITY , Vol.26 , No.4 , pp.1135 -1164 (Dec, 2013)
11. [논문] 이기정, Jie Xiong, Alejandro Gomez, Ang Wei, Carl Mueller, Strong uniqueness for an SPDE via backward doubly stochastic differential equations , STATISTICS & PROBABILITY LETTERS , Vol.83 , No.10 , pp.2186 -2190 (Oct, 2013)
12. [논문] 이기정, Felix Lindner, 김경훈, Petru Cioica, On the Lq(Lp)-regularity and Besov smoothness of stochastic parabolic equations on bounded Lipschitz domains , ELECTRONIC JOURNAL OF PROBABILITY , Vol.18 , No.82 , pp.1 -41 (Sep, 2013)
13. [논문] 이기정, 김경훈, A $W^n_2$-Theory of Stochastic Parabolic Partial Differential Systems on $C^1$-domains , POTENTIAL ANALYSIS , Vol.38 , No.3 , pp.951 -984 (Apr, 2013)
14. [논문] 이기정, 김경훈, A note on Wpγ-theory of linear stochastic parabolic partial differential systems , STOCHASTIC PROCESSES AND THEIR APPLICATIONS , Vol.123 , pp.76 -90 (Jan, 2013)
15. [논문] 이기정, 김경훈, A weighted $L_p$-theory for parabolic PDEs with BMO coefficients on $C^1$-domains , JOURNAL OF DIFFERENTIAL EQUATIONS , Vol.254 , pp.368 -407 (Jan, 2013)
16. [논문] 이기정, 장통근, On a stochastic partial differential equation with a fractional Laplacian operator , STOCHASTIC PROCESSES AND THEIR APPLICATIONS , Vol.122 , No.9 , pp.3288 -3311 (Sep, 2012)
17. [논문] 이기정, 김경훈, A $W_n^2$-theory of elliptic and parabolic partial differential systems in $C^1$ domains , JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS , Vol.391 , No.2 , pp.397 -414 (Jul, 2012)
18. [논문] 이기정, 배수현, Positive entire stable solutions of inhomogeneous semilinear elliptic equations , NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS , Vol.74 , No.18 , pp.7012 -7024 (Dec, 2011)
19. [논문] 이기정, 김경훈, A $W^1_2$-theory of Stochastic Partial Differential Systems of Divergence Type on $C^1$ domains , ELECTRONIC JOURNAL OF PROBABILITY , Vol.16 , pp.1296 -1317 (Jul, 2011)
20. [논문] 배형옥, 안세륭, 이기정, 구형건, A SURVEY ON AMERICAN OPTIONS: OLD APPROACHES AND NEW TRENDS , BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY , pp.791 -812 (Jul, 2011)
21. [논문] 이기정, 안청희, 최희준, A long time asymptotic behavior of the free boundary for an American put , PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY , Vol.137 , No.10 , pp.3425 -3436 (Oct, 2009)
22. [논문] 이기정, 장통근, Spectral properties of the layer potentials on Lipschitz domains. , ILLINOIS JOURNAL OF MATHEMATICS , Vol.52 , No.2 , pp.463 -472 (Jun, 2009)
23. [논문] 이기정, On a deterministic linear partial differential system , JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS , Vol.353 , No.1 , pp.24 -42 (May, 2009)
24. [논문] 이기정, Carl Mueller, Jie Xiong, Some properties of superprocesses under a stochastic flow , ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES , Vol.45 , No.2 , pp.477 -490 (May, 2009)
25. [논문] 이기정, 안청희, 최희준, On a Hamilton--Jacobi--Bellman Equation Related to a Stochastic Periodic Model , SIAM JOURNAL ON CONTROL AND OPTIMIZATION , Vol.48 , No.3 , pp.1309 -1334 (May, 2009)
26. [논문] 이기정, Carl Mueller, On the discrete heat equation taking values on a tree. , PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY , Vol.137 , No.4 , pp.1467 -1478 (Apr, 2009)

1. [학술회의] 이기정, F. Lindner, P .A. Cioica-Licht, 김경훈, Stochastic parabolic equation and Dirichlet boundary condition , Harmonic Analysis, Stochastic and PDEs (Jun, 2022)
2. [학술회의] 이기정, 박지현, 최영우, A modeling of random flux for stochastic elliptic equations , 2019 Spring Probability Workshop, Taiwan (May, 2019)
3. [학술회의] 이기정, Stochastic heat diffusion near boundary , 2018 Joint meeting of KMS and DMV (Oct, 2018)
4. [학술회의] 이기정, Stochastic heat diffusion on infnite wedges in R^2 , 2018 Probability Workshop in Gyeongju (Aug, 2018)
5. [학술회의] 이기정, 김경훈, Heat diffusion starting with degeneracy , Nonlinear PDEs, Stochastic Control and Filtering: New Methods and Applications (ICMS) (May, 2017)
6. [학술회의] 이기정, Modeling: random interruptions to Heat diffusion , 2016 Stochastic Analysis Workshop at Korea University (Jun, 2016)
7. [학술회의] 이기정, On heat equation with general random noise as the initial condition , 2015 The International Mathematical Meeting and the Annual Meeting of the Taiwanese Mathematical Society (Dec, 2015)
8. [학술회의] 이기정, Temporal Random Noises in Stochastic Parabolic Equations , Final conference of the DFG Priority Program SPP 1324 (Nov, 2014)
9. [학술회의] 이기정, Random Noises in Stochastic Parabolic Equations , 2013 Workshop among Shandong University, Kumamoto University and Ajou University (Nov, 2013)
10. [학술회의] 이기정, Random Noises in Stochastic Parabolic Equations , KSIAM 2012 Annual Meeting (Nov, 2012)
11. [학술회의] 이기정, On Lp-theory of Stochastic Linear Parabolic Equations/systems , Harmonic Analysis and its Applications at Nara 2011 (Nov, 2011)
12. [학술회의] 이기정, On Lp-theory of Stochastic Linear Parabolic Equations/systems , High-Dimensional Aspects of Stochastic PDEs (Aug, 2011)
13. [학술회의] 이기정, Carl Mueller, Jie Xiong, Some properties of superprocesses under a stochastic flow. , 2nd SNU Workshop on Nonlinear Partial Differential Equations , Vol.N/A , No.N/A , pp.N/A -N/A (Jun, 2009)

1. [학술회의] 이기정, 김경훈, 서진솔, Stochastic parabolic equation and Dirichlet boundary condition , 2021년도 대한수학회 정기총회 및 가을 연구발표회 (Oct, 2021)
2. [학술회의] 이기정, Modeling Random Noises , 2014년도 대한수학회 봄 연구발표회 (Apr, 2014)
3. [학술회의] 이기정, On the discrete Heat Equation Taking values on a Simple Tree , 2011 대한수학회 봄 정기발표회 (Apr, 2011)
4. [학술회의] 이기정, 김경훈, A Note On $W^{\gamma}_p$-theory of Linear Stochastic Parabolic Partial Differential Systems( 학술회의 발표제목: An $L_p$-theory of Stochastic parabolic systems) , 2010 KMS Probability Workshop , pp.1 (Nov, 2010)
5. [학술회의] 이기정, 김경훈, A W^p-Theory of Linear Stochastic Partial Differential Systems in One Space Dimension , 2010 한국수학관련단체총연합회 연합 학술발표회 , pp.1 -37 (Apr, 2010)
6. [학술회의] 이기정, 안청희, 최희준, A long time asymptotic behavior of the free boundary for an American put. , 제 3 회 Ajou-KAIST-POSTECH 컨퍼런스 , Vol.N/A , No.N/A , pp.N/A -N/A (Mar, 2009)
7. [학술회의] 이기정, 장통근, On the Dynamic Programming related to a Hamilton-Jacobi-Bellman Equation with unbounded coefficients , Hanbat PDE-Workshop , Vol.N/A , No.N/A , pp.N/A -N/A (Jun, 2008)
8. [학술회의] 이기정, 안청희, 최희준, A Long Time Asymptotic Behavior of the Free Boundary for an American Put , 제 2회 대한수학회 확률론 워크샵 , Vol.N/A , No.N/A , pp.N/A -N/A (Jun, 2008)