• 368 Citations
  • 13 h-Index
20032020

Research output per year

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Research Output

  • 368 Citations
  • 13 h-Index
  • 36 Article
  • 2 Comment/debate
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Article
2020

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

Hwang, S. & Kim, S., 2020 Jan 1, In : Potential Analysis. 52, 1, p. 27-39 13 p.

Research output: Contribution to journalArticle

2019

A note on boundary blow-up problem of ∆u = u p

Kim, S., 2019 Jan 1, In : Bulletin of the Korean Mathematical Society. 56, 1, p. 245-251 7 p.

Research output: Contribution to journalArticle

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

Kim, S. & Sakellaris, G., 2019 Mar 4, In : Communications in Partial Differential Equations. 44, 3, p. 228-270 43 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Partial Schauder Estimates for Second-Order Elliptic and Parabolic Equations: A Revisit

Dong, H. & Kim, S., 2019 Apr, In : International Mathematics Research Notices. 2019, 7, p. 2085-2136 52 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)
2018

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

Yoon, G., Min, C. & Kim, S., 2018 Aug 1, In : Journal of Scientific Computing. 76, 2, p. 727-758 32 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Fundamental solutions for second-order parabolic systems with drift terms

Dong, H. & Kim, S., 2018 Jul, In : Proceedings of the American Mathematical Society. 146, 7, p. 3019-3029 11 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

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

Dong, H., Escauriaza, L. & Kim, S., 2018 Feb 1, In : Mathematische Annalen. 370, 1-2, p. 447-489 43 p.

Research output: Contribution to journalArticle

9 Citations (Scopus)

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

Bae, H., Kang, K. & Kim, S., 2018 Apr 15, In : Journal of Differential Equations. 264, 8, p. 5360-5387 28 p.

Research output: Contribution to journalArticle

2017

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

Dong, H. & Kim, S., 2017 Mar 4, In : Communications in Partial Differential Equations. 42, 3, p. 417-435 19 p.

Research output: Contribution to journalArticle

8 Citations (Scopus)
2015

On an elliptic equation arising from photo-acoustic imaging in inhomogeneous media

Ammari, H., Dong, H., Kang, H. & Kim, S., 2015 Jan 1, In : International Mathematics Research Notices. 2015, 22, p. 12105-12113 9 p.

Research output: Contribution to journalArticle

Regularity of a degenerate parabolic equation appearing in Vecer’s unified pricing of Asian options

Dong, H. & Kim, S., 2015 Jan 1, In : Bulletin of the Korean Mathematical Society. 52, 3, p. 947-953 7 p.

Research output: Contribution to journalArticle

The Green function for the mixed problem for the linear Stokes system in domains in the plane

Ott, K. A., Kim, S. & Brown, R. M., 2015 Mar 1, In : Mathematische Nachrichten. 288, 4, p. 452-464 13 p.

Research output: Contribution to journalArticle

9 Citations (Scopus)
2014

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

Choi, J. & Kim, S., 2014 Nov 1, In : Journal of Functional Analysis. 267, 9, p. 3205-3261 57 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

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

Dong, H. & Kim, S., 2014 Jul 1, In : Communications on Pure and Applied Analysis. 13, 4, p. 1407-1433 27 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Harnack inequality for nondivergent parabolic operators on Riemannian manifolds

Kim, S., Kim, S. & Lee, K. A., 2014 Jan 1, In : Calculus of Variations and Partial Differential Equations. 49, 1-2, p. 669-706 38 p.

Research output: Contribution to journalArticle

6 Citations (Scopus)

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

Taylor, J., Kim, S. & Brown, R., 2014 Oct 1, In : Journal of Differential Equations. 257, 7, p. 2485-2519 35 p.

Research output: Contribution to journalArticle

2013

Green's function for second order parabolic systems with Neumann boundary condition

Choi, J. & Kim, S., 2013 Apr 1, In : Journal of Differential Equations. 254, 7, p. 2834-2860 27 p.

Research output: Contribution to journalArticle

8 Citations (Scopus)

Neumann functions for second order elliptic systems with measurable coefficients

Choi, J. & Kim, S., 2013 Oct 2, In : Transactions of the American Mathematical Society. 365, 12, p. 6283-6307 25 p.

Research output: Contribution to journalArticle

14 Citations (Scopus)

The Green Function for Elliptic Systems in Two Dimensions

Taylor, J. L., Kim, S. & Brown, R. M., 2013 Sep, In : Communications in Partial Differential Equations. 38, 9, p. 1574-1600 27 p.

Research output: Contribution to journalArticle

8 Citations (Scopus)
2012

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

Cho, S., Dong, H. & Kim, S., 2012 Feb 1, In : Potential Analysis. 36, 2, p. 339-372 34 p.

Research output: Contribution to journalArticle

13 Citations (Scopus)

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

Ammari, H., Kang, H. & Kim, S., 2012 Jul 1, In : Journal of Differential Equations. 253, 1, p. 41-72 32 p.

Research output: Contribution to journalArticle

6 Citations (Scopus)
2011

Analyticity of layer potentials and L2 solvability of boundary value problems for divergence form elliptic equations with complex L coefficients

Alfonseca, M. A., Auscher, P., Axelsson, A., Hofmann, S. & Kim, S., 2011 Mar 20, In : Advances in Mathematics. 226, 5, p. 4533-4606 74 p.

Research output: Contribution to journalArticle

42 Citations (Scopus)

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

Kang, K. & Kim, S., 2011 Nov 1, In : Journal of Differential Equations. 251, 9, p. 2466-2493 28 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)

Partial Schauder estimates for second-order elliptic and parabolic equations

Dong, H. & Kim, S., 2011 Jan 1, In : Calculus of Variations and Partial Differential Equations. 40, 3, p. 481-500 20 p.

Research output: Contribution to journalArticle

14 Citations (Scopus)
2010

Biases in the prime number race of function fields

Cha, B. & Kim, S., 2010 Apr 1, In : Journal of Number Theory. 130, 4, p. 1048-1055 8 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

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

Kang, K. & Kim, S., 2010 Dec 1, In : Journal of Differential Equations. 249, 11, p. 2643-2662 20 p.

Research output: Contribution to journalArticle

17 Citations (Scopus)
2009

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

Dong, H. & Kim, S., 2009 Jun 1, In : Transactions of the American Mathematical Society. 361, 6, p. 3303-3323 21 p.

Research output: Contribution to journalArticle

26 Citations (Scopus)

On a degenerate parabolic equation arising in pricing of Asian options

Kim, S., 2009 Mar 1, In : Journal of Mathematical Analysis and Applications. 351, 1, p. 326-333 8 p.

Research output: Contribution to journalArticle

6 Citations (Scopus)
2008
13 Citations (Scopus)

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

Cho, S., Dong, H. & Kim, S., 2008 Oct 22, In : Indiana University Mathematics Journal. 57, 4, p. 1633-1677 45 p.

Research output: Contribution to journalArticle

16 Citations (Scopus)

On uniqueness of boundary blow-up solutions of a class of nonlinear elliptic equations

Dong, H., Kim, S. & Safonov, M., 2008 Feb 1, In : Communications in Partial Differential Equations. 33, 2, p. 177-188 12 p.

Research output: Contribution to journalArticle

17 Citations (Scopus)
2007

The Green function estimates for strongly elliptic systems of second order

Hofmann, S. & Kim, S., 2007 Oct 1, In : Manuscripta Mathematica. 124, 2, p. 139-172 34 p.

Research output: Contribution to journalArticle

65 Citations (Scopus)
2004

Gaussian estimates for fundamental solutions to certain parabolic systems

Hofmann, S. & Kim, S., 2004, In : Publicacions Matematiques. 48, 2, p. 481-496 16 p.

Research output: Contribution to journalArticle

18 Citations (Scopus)

Harnack inequality for nondivergent elliptic operators on Riemannian manifolds

Kim, S., 2004 Feb, In : Pacific Journal of Mathematics. 213, 2, p. 281-293 13 p.

Research output: Contribution to journalArticle

13 Citations (Scopus)

On the regularity of solutions to a parabolic system related to Maxwell's equations

Kang, K., Kim, S. & Minut, A., 2004 Nov 1, In : Journal of Mathematical Analysis and Applications. 299, 1, p. 89-99 11 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)
2003
16 Citations (Scopus)