papers
Publications (24)
math.AP2013
Heat kernel for the elliptic system of linear elasticity with boundary conditions
Justin Taylor, Seick Kim, Russell Brown
math.AP2008
On a degenerate parabolic equation arising in pricing of Asian options
Seick Kim
math.AP2007
Green's matrices of second order elliptic systems with measurable coefficients in two dimensional domains
Hongjie Dong, Seick Kim
math.AP2015
On an elliptic equation arising from photo-acoustic imaging in inhomogeneous media
Habib Ammari, Hongjie Dong, Hyeonbae Kang +1
math.AP2014
Green's functions for elliptic and parabolic systems with Robin-type boundary conditions
Jongkeun Choi, Seick Kim
math.AP2010
Green's functions for parabolic systems of second order in time-varying domains
Hongjie Dong, Seick Kim
math.AP2013
Green's function for second order parabolic systems with Neumann boundary condition
Jongkeun Choi, Seick Kim
math.AP2016
Partial Schauder estimates for second-order elliptic and parabolic equations: a revisit
Hongjie Dong, Seick Kim
math.AP2012
Harnack inequality for nondivergent parabolic operators on Riemannian manifolds
Seick Kim, Soojung Kim, Ki-Ahm Lee
math.AP2018
Uniqueness of solutions for Keller-Segel system of porous medium type coupled to fluid equations
Hantaek Bae, Kyungkeun Kang, Seick Kim
math.AP2016
On $C^1$, $C^2$, and weak type-$(1,1)$ estimates for linear elliptic operators
Hongjie Dong, Seick Kim
math.AP2010
Global pointwise estimates for Green's matrix of second order elliptic systems
Kyungkeun Kang, Seick Kim
math.AP2014
Elliptic systems with measurable coefficients of the type of Lamé system in three dimensions
Kyungkeun Kang, Seick Kim
math.AP2010
Partial Schauder estimates for second-order elliptic and parabolic equations
Hongjie Dong, Seick Kim
math.AP2007
Gaussian estimates for fundamental solutions of second order parabolic systems with time-independent coefficients
Seick Kim
math.AP2012
Neumann functions for second order elliptic systems with measurable coefficients
Jongkeun Choi, Seick Kim
math.AP2017
Fundamental solutions for second order parabolic systems with drift terms
Hongjie Dong, Seick Kim
math.AP2011
Sharp estimates for the Neumann functions and applications to quantitative photo-acoustic imaging in inhomogeneous media
Habib Ammari, Hyeonbae Kang, Seick Kim
math.AP2007
On the Green's matrices of strongly parabolic systems of second order
Sungwon Cho, Hongjie Dong, Seick Kim
math.AP2017
On $C^1$, $C^2$, and weak type-$(1,1)$ estimates for linear elliptic operators: Part II
Hongjie Dong, Luis Escauriaza, Seick Kim
math.AP2007
The Green function estimates for strongly elliptic systems of second order
Steve Hofmann, Seick Kim
math.AP2015
Regularity of a degenerate parabolic equation appearing in Vecer's unified pricing of Asian options
Hongjie Dong, Seick Kim
math.AP2007
On Uniqueness of Boundary Blow-up Solutions of a Class of Nonlinear Elliptic Equations
Hongjie Dong, Seick Kim, Mikhail Safonov
math.AP2010
Global estimates for Green's matrix of second order parabolic systems with application to elliptic systems in two dimensional domains
Sungwon Cho, Hongjie Dong, Seick Kim