| 논문 및 연구활동 |
- 연구활동(주요논문)
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[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)
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[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)
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[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)
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[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)
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[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)
- 국제학술논문지
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[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)
-
[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)
-
[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)
-
[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)
-
[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)
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[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)
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[논문]
이기정, 김경훈,
On the heat diffusion starting with degeneracy
, JOURNAL OF DIFFERENTIAL EQUATIONS
, Vol.262
, No.3
, pp.2722
-2744
(Feb, 2017)
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[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)
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[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)
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[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)
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[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)
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[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)
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[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)
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[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)
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[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)
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[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)
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[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)
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[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)
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[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)
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[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)
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[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)
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[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)
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[논문]
이기정,
On a deterministic linear partial differential system
, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
, Vol.353
, No.1
, pp.24
-42
(May, 2009)
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[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)
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[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)
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[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)
- 국제학술발표
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[학술회의]
이기정, F. Lindner, P .A. Cioica-Licht, 김경훈,
Stochastic parabolic equation and Dirichlet boundary condition
, Harmonic Analysis, Stochastic and PDEs
(Jun, 2022)
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[학술회의]
이기정, 박지현, 최영우,
A modeling of random flux for stochastic elliptic equations
, 2019 Spring Probability Workshop, Taiwan
(May, 2019)
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[학술회의]
이기정,
Stochastic heat diffusion near boundary
, 2018 Joint meeting of KMS and DMV
(Oct, 2018)
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[학술회의]
이기정,
Stochastic heat diffusion on infnite wedges in R^2
, 2018 Probability Workshop in Gyeongju
(Aug, 2018)
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[학술회의]
이기정, 김경훈,
Heat diffusion starting with degeneracy
, Nonlinear PDEs, Stochastic Control and Filtering: New Methods and Applications (ICMS)
(May, 2017)
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[학술회의]
이기정,
Modeling: random interruptions to Heat diffusion
, 2016 Stochastic Analysis Workshop at Korea University
(Jun, 2016)
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[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)
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[학술회의]
이기정,
Temporal Random Noises in Stochastic Parabolic Equations
, Final conference of the DFG Priority Program SPP 1324
(Nov, 2014)
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[학술회의]
이기정,
Random Noises in Stochastic Parabolic Equations
, 2013 Workshop among Shandong University, Kumamoto University and Ajou University
(Nov, 2013)
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[학술회의]
이기정,
Random Noises in Stochastic Parabolic Equations
, KSIAM 2012 Annual Meeting
(Nov, 2012)
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[학술회의]
이기정,
On Lp-theory of Stochastic Linear Parabolic Equations/systems
, Harmonic Analysis and its Applications at Nara 2011
(Nov, 2011)
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[학술회의]
이기정,
On Lp-theory of Stochastic Linear Parabolic Equations/systems
, High-Dimensional Aspects of Stochastic PDEs
(Aug, 2011)
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[학술회의]
이기정, Carl Mueller, Jie Xiong,
Some properties of superprocesses under a stochastic flow.
, 2nd SNU Workshop on Nonlinear Partial Differential Equations
(Jun, 2009)
- 국내학술발표
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[학술회의]
이기정, 김경훈, 서진솔,
Stochastic parabolic equation and Dirichlet boundary condition
, 2021년도 대한수학회 정기총회 및 가을 연구발표회
(Oct, 2021)
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[학술회의]
이기정,
Modeling Random Noises
, 2014년도 대한수학회 봄 연구발표회
(Apr, 2014)
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[학술회의]
이기정,
On the discrete Heat Equation Taking values on a Simple Tree
, 2011 대한수학회 봄 정기발표회
(Apr, 2011)
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[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)
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[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)
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[학술회의]
이기정, 안청희, 최희준,
A long time asymptotic behavior of the free boundary for an American put.
, 제 3 회 Ajou-KAIST-POSTECH 컨퍼런스
(Mar, 2009)
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[학술회의]
이기정, 장통근,
On the Dynamic Programming related to a Hamilton-Jacobi-Bellman Equation with unbounded coefficients
, Hanbat PDE-Workshop
(Jun, 2008)
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[학술회의]
이기정, 안청희, 최희준,
A Long Time Asymptotic Behavior of the Free Boundary for an American Put
, 제 2회 대한수학회 확률론 워크샵
(Jun, 2008)
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