most citedEstimates for Green's functions of elliptic equations in non-divergence form with continuous coefficients

7 citations · 16 across the 3 of their papers we have counts for

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3 papers

math.AP2022★ 7 cited

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

Hongjie Dong, Seick Kim, Sungjin Lee

We construct the fundamental solution of second order parabolic equations in non-divergence form under the assumption that the coefficients are of Dini mean oscillation in the spat…

math.AP2022★ 2 cited

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

Hongjie Dong, Seick Kim, Sungjin Lee

We improve a result in Kim and Lee (Ann. Appl. Math. 37(2):111--130, 2021): showing that if the coefficients of an elliptic operator in non-divergence form are of Dini mean oscilla…

math.AP2021★ 7 cited

Estimates for Green's functions of elliptic equations in non-divergence form with continuous coefficients

Seick Kim, Sungjin Lee

We present a new method for the existence and pointwise estimates of a Green's function of non-divergence form elliptic operator with Dini mean oscillation coefficients. We also pr…