| 2023-05 |
NOTE ON GREEN’S FUNCTIONS OF NON-DIVERGENCE ELLIPTIC OPERATORS WITH CONTINUOUS COEFFICIENTS |
Proceedings of the American Mathematical Society
|
| 2022-12 |
Estimates for fundamental solutions of parabolic equations in non-divergence form
|
Journal of Differential Equations
|
| 2022-08 |
Learning Green’s functions associated with time-dependent partial differential equations |
Journal of Machine Learning Research
|
| 2022-01 |
GREEN'S FUNCTION FOR SECOND ORDER PARABOLIC EQUATIONS WITH SINGULAR LOWER ORDER COEFFICIENTS |
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
|
| 2021-12 |
On C-1/2,C-1, C-1,C-2, and C-0,C-0 estimates for linear parabolic operators |
JOURNAL OF EVOLUTION EQUATIONS
|
| 2021-09 |
Green's function for nondivergence elliptic operators in two dimensions |
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
|
| 2021-05 |
Estimates for Green's functions of elliptic equations in non-divergence form with continuous coefficients |
Annals of Applied Mathematics
|
| 2020-11 |
On Conormal and Oblique Derivative Problem for Elliptic Equations with Dini Mean Oscillation Coefficients |
INDIANA UNIVERSITY MATHEMATICS JOURNAL
|
| 2020-11 |
Gradient estimates for elliptic equations in divergence form with partial Dini mean oscillation coefficients |
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY
|
| 2020-01 |
Green’s Function for Second Order Elliptic Equations in Non-divergence Form |
POTENTIAL ANALYSIS
|
| 2019-04 |
Partial Schauder Estimates for Second-Order Elliptic and Parabolic Equations: A Revisit |
INTERNATIONAL MATHEMATICS RESEARCH NOTICES
|
| 2019-03 |
Green’s function for second order elliptic equations with singular lower order coefficients |
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
|
| 2019-01 |
A note on boundary blow-up problem of $\Delta u=u^p$ |
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
|
| 2018-08 |
A Stable and Convergent Hodge Decomposition Method for Fluid-Solid Interaction |
JOURNAL OF SCIENTIFIC COMPUTING
|
| 2018-07 |
Fundamental solutions for second-order parabolic systems with drift terms |
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
|
| 2018-04 |
Uniqueness of solutions for Keller-Segel system of porous medium type coupled to fluid equations |
JOURNAL OF DIFFERENTIAL EQUATIONS
|
| 2018-02 |
On C<sup>1</sup>, C<sup>2</sup>, and weak type-(1, 1) estimates for linear elliptic operators: part II |
MATHEMATISCHE ANNALEN
|
| 2017-03 |
On C-1, C-2, and weak type-(1,1) estimates for linear elliptic operators |
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
|
| 2015-11 |
On An Elliptic Equation Arising from Photo-Acoustic Imaging in Inhomogeneous Media |
INTERNATIONAL MATHEMATICS RESEARCH NOTICES
|
| 2015-06 |
NOTE ON LOCAL BOUNDEDNESS FOR WEAK SOLUTIONS OF NEUMANN PROBLEM FOR SECOND-ORDER ELLIPTIC EQUATIONS |
Journal of the Korean Society for Industrial and Applied Mathematics
|
| 2015-05 |
Regularity of a degenerate parabolic equation appearing in Vecer's unified pricing of Asian options |
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
|
| 2015-03 |
The Green function for the mixed problem for the linear Stokes system in domains in the plane |
MATHEMATISCHE NACHRICHTEN
|
| 2014-11 |
Green's functions for elliptic and parabolic systems with Robin-type boundary conditions |
JOURNAL OF FUNCTIONAL ANALYSIS
|
| 2014-10 |
Heat kernel for the elliptic system of linear elasticity with boundary conditions |
JOURNAL OF DIFFERENTIAL EQUATIONS
|
| 2014-09 |
Corrigendum to "Elliptic systems with measurable coefficients of the type of Lame system in three dimensions" [J. Differential Equations 251 (9) (2011) 2466-2493] |
JOURNAL OF DIFFERENTIAL EQUATIONS
|
| 2014-07 |
GREEN'S FUNCTIONS FOR PARABOLIC SYSTEMS OF SECOND ORDER IN TIME-VARYING DOMAINS |
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
|
| 2014-01 |
Harnack inequality for nondivergent parabolic operators on Riemannian manifolds |
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
|
| 2013-12 |
Neumann functions for second order elliptic systems with measurable coefficients |
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
|
| 2013-09 |
The Green Function for Elliptic Systems in Two Dimensions |
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
|
| 2013-04 |
Green's function for second order parabolic systems with Neumann boundary condition |
JOURNAL OF DIFFERENTIAL EQUATIONS
|
| 2012-07 |
Sharp estimates for the Neumann functions and applications to quantitative photo-acoustic imaging in inhomogeneous media |
JOURNAL OF DIFFERENTIAL EQUATIONS
|
| 2012-02 |
Global Estimates for Green's Matrix of Second Order Parabolic Systems with Application to Elliptic Systems in Two Dimensional Domains |
POTENTIAL ANALYSIS
|
| 2011-11 |
Elliptic systems with measurable coefficients of the type of Lame system in three dimensions |
JOURNAL OF DIFFERENTIAL EQUATIONS
|
| 2011-03 |
Analyticity of layer potentials and L2 solvability of boundary value problems for divergence form elliptic equations with complex L∞ coefficients |
ADVANCES IN MATHEMATICS
|
| 2011-03 |
Partial Schauder estimates for second-order elliptic and parabolic equations |
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
|
| 2010-12 |
Global pointwise estimates for Green's matrix of second order elliptic systems |
JOURNAL OF DIFFERENTIAL EQUATIONS
|
| 2010-04 |
Biases in the prime number race of function fields |
Journal Of Number Theory
|
| 2009-06 |
GREEN'S MATRICES OF SECOND ORDER ELLIPTIC SYSTEMS WITH MEASURABLE COEFFICIENTS IN TWO DIMENSIONAL DOMAINS |
Transactions Of The American Mathematical Society
|
| 2009-03 |
On a degenerate parabolic equation arising in pricing of Asian options |
Journal Of Mathematical Analysis And Applications
|
| 2008-11 |
Gaussian estimates for fundamental solutions of second order parabolic systems with time-independent coefficients |
Transactions Of The American Mathematical Society
|
| 2008-10 |
On the Green`s matrices of strongly parabolic systems of second order |
Indiana University Mathematics Journal
|
| 2008-02 |
On uniqueness of boundary blow-up solutions of a class of nonlinear elliptic equations |
Communications In Partial Differential Equations
|
| 2007-10 |
The Green function estimates for strongly elliptic systems of second order |
MANUSCRIPTA MATHEMATICA
|
| 2005-01 |
On the Holder continuity of solutions of a certain system related to Maxwell's equations (vol 34, pg 87, 2002) |
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
|
| 2004-11 |
On the regularity of solutions to a parabolic system related to Maxwell's equations |
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
|
| 2004-02 |
Harnack inequality for nondivergent elliptic operators on Riemannian manifolds |
PACIFIC JOURNAL OF MATHEMATICS
|
| 2004-01 |
Gaussian estimates for fundamental solutions to certain parabolic systems |
PUBLICACIONS MATEMATIQUES
|
| 2002-09 |
On the Holder continuity of solutions of a certain system related to Maxwell's equations |
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
|