Seick Kim

发表

Learning Green's functions associated with parabolic partial differential equations

Alex Townsend, Nicolas Boull'e, Seick Kim, 2022, ArXiv.

Note on Green's functions of non-divergence elliptic operators with continuous coefficients

Hongjie Dong, Seick Kim, Sungjin Lee, 2022, 2201.03764.

Learning Green's functions associated with time-dependent partial differential equations

Alex Townsend, Seick Kim, Tianyi Shi, 2022, J. Mach. Learn. Res..

Harnack inequality for nondivergent parabolic operators on Riemannian manifolds

Seick Kim, Ki-ahm Lee, Soojung Kim, 2013, Calculus of Variations and Partial Differential Equations.

Estimates for fundamental solutions of parabolic equations in non-divergence form

Hongjie Dong, Seick Kim, Sungjin Lee, 2022, Journal of Differential Equations.

Green’s Function for Second Order Elliptic Equations in Non-divergence Form

Sukjung Hwang, Seick Kim, 2018, Potential Analysis.

The Neumann Green function and scale invariant regularity estimates for elliptic equations with Neumann data in Lipschitz domains

Seick Kim, G. Sakellaris, 2023, 2302.00132.

Green's matrices of second order elliptic systems with measurable coefficients in two dimensional domains

Hongjie Dong, Seick Kim, Hongjie Dong, 2007, 0708.3270.

The Green function estimates for strongly elliptic systems of second order

S. Hofmann, Seick Kim, 2007, 0704.1352.

Green’s function for second order elliptic equations with singular lower order coefficients

Seick Kim, G. Sakellaris, 2017, Communications in Partial Differential Equations.

Greenʼs function for second order parabolic systems with Neumann boundary condition

Seick Kim, Jongkeun Choi, 2013, 1301.1537.

Neumann functions for second order elliptic systems with measurable coefficients

Seick Kim, Jongkeun Choi, 2011, 1112.2436.

Partial Schauder estimates for second-order elliptic and parabolic equations

Hongjie Dong, Seick Kim, 2010, 1005.1429.

Green's Function for Nondivergence Elliptic Operators in Two Dimensions

Hongjie Dong, Seick Kim, Hongjie Dong, 2020, SIAM J. Math. Anal..

Partial Schauder estimates for second-order elliptic and parabolic equations: a revisit

Hongjie Dong, Seick Kim, 2015, 1502.00886.

On $$\varvec{C^{1/2,1}}$$, $$\varvec{C^{1,2}}$$, and $$\varvec{C^{0,0}}$$ estimates for linear parabolic operators

Hongjie Dong, Luis Escauriaza, Seick Kim, 2019, Journal of Evolution Equations.

On $C^{1/2,1}$, $C^{1,2}$, and $C^{0,0}$ estimates for linear parabolic operators.

Hongjie Dong, L. Escauriaza, Seick Kim, 2019 .

Green’s Function for Second Order Elliptic Equations in Non-divergence Form

Sukjung Hwang, Seick Kim, 2017, Potential Analysis.

On the Green's matrices of strongly parabolic systems of second order

Hongjie Dong, Seick Kim, Sungwon Cho, 2007, 0705.1855.

Gaussian estimates for fundamental solutions to certain parabolic systems.

S. Hofmann, Seick Kim, 2004 .

Elliptic systems with measurable coefficients of the type of Lamé system in three dimensions

K. Kang, Seick Kim, 2010, 1011.3874.

Uniqueness of solutions for Keller–Segel system of porous medium type coupled to fluid equations

K. Kang, Hantaek Bae, Seick Kim, 2018, 1801.00556.

Global pointwise estimates for Green's matrix of second order elliptic systems

K. Kang, Seick Kim, 2010, 1001.2618.

Estimates for Green's Functions of Elliptic Equations in Non-Divergence Form with Continuous Coefficients

Seick Kim, Sungjin Lee, 2021, 2103.04071.

On $$C^1$$C1, $$C^2$$C2, and weak type-(1, 1) estimates for linear elliptic operators: part II

Hongjie Dong, L. Escauriaza, Seick Kim, 2017, 1704.01520.

On C1, C2, and weak type-(1,1) estimates for linear elliptic operators

Hongjie Dong, Seick Kim, 2016, 1607.04361.

On Uniqueness of Boundary Blow-Up Solutions of a Class of Nonlinear Elliptic Equations

Hongjie Dong, Seick Kim, M. Safonov, 2007, 0705.2287.

On conormal and oblique derivative problem for elliptic equations with Dini mean oscillation coefficients

Hongjie Dong, Jihoon Lee, Seick Kim, 2018, 1801.09836.

Green's functions for parabolic systems of second order in time-varying domains

Hongjie Dong, Seick Kim, 2010, 1011.3903.

Fundamental solutions for second-order parabolic systems with drift terms

Hongjie Dong, Seick Kim, 2017, 1707.09162.

A Stable and Convergent Hodge Decomposition Method for Fluid–Solid Interaction

Gang-Joon Yoon, Chohong Min, Seick Kim, 2016, Journal of Scientific Computing.

Analyticity of layer potentials and $L^{2}$ solvability of boundary value problems for divergence form elliptic equations with complex $L^{\infty}$ coefficients

P. Auscher, S. Hofmann, A. Axelsson, 2007, 0705.0836.

Sharp estimates for the Neumann functions and applications to quantitative photo-acoustic imaging in inhomogeneous media ∗

Habib Ammari, Hyeonbae Kang, Seick Kim, 2011, 1112.2441.

Gaussian estimates for fundamental solutions to certain parabolic systems.

S. Hofmann, Seick Kim, 2004 .

GRADIENT ESTIMATES FOR ELLIPTIC EQUATIONS IN DIVERGENCE FORM WITH PARTIAL DINI MEAN OSCILLATION COEFFICIENTS

Seick Kim, Jongkeun Choi, Kyungrok Lee, 2020 .

Green's matrices of second order elliptic systems with measurable coefficients in two dimensional domains

Hongjie Dong, Seick Kim, 2007, 0708.3270.

Green's functions for elliptic and parabolic systems with Robin-type boundary conditions

Seick Kim, Jongkeun Choi, 2014, 1404.2418.

Greenʼs function for second order parabolic systems with Neumann boundary condition

Seick Kim, Jongkeun Choi, 2013, 1301.1537.

Green's function for second order parabolic equations with singular lower order coefficients

Longjuan Xu, Seick Kim, Longjuan Xu, 2020, Communications on Pure & Applied Analysis.

Global Estimates for Green’s Matrix of Second Order Parabolic Systems with Application to Elliptic Systems in Two Dimensional Domains

Hongjie Dong, Seick Kim, Sungwon Cho, 2011, Potential Analysis.

Global Estimates for Green’s Matrix of Second Order Parabolic Systems with Application to Elliptic Systems in Two Dimensional Domains

Hongjie Dong, Seick Kim, Sungwon Cho, 2010, 1007.5429.

Gaussian estimates for fundamental solutions of second order parabolic systems with time-independent coefficients

Seick Kim, 2007, 0704.1372.

A note on heat kernel estimates for second-order elliptic operators

Seick Kim, 2004 .

NOTE ON LOCAL BOUNDEDNESS FOR WEAK SOLUTIONS OF NEUMANN PROBLEM FOR SECOND-ORDER ELLIPTIC EQUATIONS

Seick Kim, 2015 .

Heat kernel for the elliptic system of linear elasticity with boundary conditions

Russell M. Brown, Seick Kim, Justin L. Taylor, 2013, 1303.7280.

The Dirichlet problem for second-order elliptic equations in non-divergence form with continuous coefficients

Seick Kim, Hongjie Dong, Dong-ha Kim, 2024, 2402.17948.

The Green Function for Elliptic Systems in Two Dimensions

R. M. Brown, Russell M. Brown, J. L. Taylor, 2012, 1205.1089.