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이기정Kijung Lee

  • 소속 수학과
  • 연구실팔달관 612호
  • 이메일 kijung@ajou.ac.kr
  • 내선번호1936

관심분야

  • 확률편미분방정식

학력

  • 2004.06 Univ Minnesota -Twin Cities 박사

경력

해당 데이터는 존재하지 않습니다.

연구분야

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

대표논문

  • [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 (12월, 2022)
  • [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 (8월, 2022)
  • [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 (2월, 2022)
  • [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 (8월, 2021)
  • [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 (11월, 2019)

연구활동

  • [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 (12월, 2022)
  • [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 (8월, 2022)
  • [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 (2월, 2022)
  • [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 (8월, 2021)
  • [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 (11월, 2019)
  • [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 (5월, 2018)
  • [논문] 이기정, 김경훈, On the heat diffusion starting with degeneracy, JOURNAL OF DIFFERENTIAL EQUATIONS, Vol.262, No.3, pp. 2722-2744 (2월, 2017)
  • [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 (5월, 2016)
  • [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 (4월, 2014)
  • [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 (12월, 2013)
  • [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 (10월, 2013)
  • [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 (9월, 2013)
  • [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 (4월, 2013)
  • [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 (1월, 2013)
  • [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 (1월, 2013)
  • [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 (9월, 2012)
  • [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 (7월, 2012)
  • [논문] 이기정, 배수현, Positive entire stable solutions of inhomogeneous semilinear elliptic equations, NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, Vol.74, No.18, pp. 7012-7024 (12월, 2011)
  • [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 (7월, 2011)
  • [논문] 배형옥, 안세륭, 이기정, 구형건, A SURVEY ON AMERICAN OPTIONS: OLD APPROACHES AND NEW TRENDS, BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, pp. 791-812 (7월, 2011)
  • [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 (10월, 2009)
  • [논문] 이기정, 장통근, Spectral properties of the layer potentials on Lipschitz domains., ILLINOIS JOURNAL OF MATHEMATICS, Vol.52, No.2, pp. 463-472 (6월, 2009)
  • [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 (5월, 2009)
  • [논문] 이기정, On a deterministic linear partial differential system, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, Vol.353, No.1, pp. 24-42 (5월, 2009)
  • [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 (5월, 2009)
  • [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 (4월, 2009)
해당 데이터는 존재하지 않습니다.
  • [학술회의] 이기정, F. Lindner, P .A. Cioica-Licht, 김경훈, Stochastic parabolic equation and Dirichlet boundary condition, Harmonic Analysis, Stochastic and PDEs, (6월, 2022)
  • [학술회의] 이기정, 박지현, 최영우, A modeling of random flux for stochastic elliptic equations, 2019 Spring Probability Workshop, Taiwan, (5월, 2019)
  • [학술회의] 이기정, Stochastic heat diffusion near boundary, 2018 Joint meeting of KMS and DMV, (10월, 2018)
  • [학술회의] 이기정, Stochastic heat diffusion on infnite wedges in R^2, 2018 Probability Workshop in Gyeongju , (8월, 2018)
  • [학술회의] 이기정, 김경훈, Heat diffusion starting with degeneracy, Nonlinear PDEs, Stochastic Control and Filtering: New Methods and Applications (ICMS), (5월, 2017)
  • [학술회의] 이기정, Modeling: random interruptions to Heat diffusion, 2016 Stochastic Analysis Workshop at Korea University, (6월, 2016)
  • [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, (12월, 2015)
  • [학술회의] 이기정, Temporal Random Noises in Stochastic Parabolic Equations, Final conference of the DFG Priority Program SPP 1324 , (11월, 2014)
  • [학술회의] 이기정, Random Noises in Stochastic Parabolic Equations, 2013 Workshop among Shandong University, Kumamoto University and Ajou University , (11월, 2013)
  • [학술회의] 이기정, Random Noises in Stochastic Parabolic Equations, KSIAM 2012 Annual Meeting, (11월, 2012)
  • [학술회의] 이기정, On Lp-theory of Stochastic Linear Parabolic Equations/systems, Harmonic Analysis and its Applications at Nara 2011, (11월, 2011)
  • [학술회의] 이기정, On Lp-theory of Stochastic Linear Parabolic Equations/systems, High-Dimensional Aspects of Stochastic PDEs, (8월, 2011)
  • [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 (6월, 2009)
  • [학술회의] 이기정, 김경훈, 서진솔, Stochastic parabolic equation and Dirichlet boundary condition, 2021년도 대한수학회 정기총회 및 가을 연구발표회, (10월, 2021)
  • [학술회의] 이기정, Modeling Random Noises, 2014년도 대한수학회 봄 연구발표회, (4월, 2014)
  • [학술회의] 이기정, On the discrete Heat Equation Taking values on a Simple Tree, 2011 대한수학회 봄 정기발표회, (4월, 2011)
  • [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- (11월, 2010)
  • [학술회의] 이기정, 김경훈, A W^p-Theory of Linear Stochastic Partial Differential Systems in One Space Dimension, 2010 한국수학관련단체총연합회 연합 학술발표회, pp. 1-37 (4월, 2010)
  • [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 (3월, 2009)
  • [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 (6월, 2008)
  • [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 (6월, 2008)
해당 데이터는 존재하지 않습니다.