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

@inproceedings{Dong2022NoteOG, title={Note on Green's functions of non-divergence elliptic operators with continuous coefficients}, author={Hongjie Dong and Seick Kim and Sungjin Lee}, year={2022} }

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 oscillation, then its Green’s function has the same asymptotic behavior near the pole x0 as that of the corresponding Green’s function for the elliptic equation with constant coefficients frozen at x0 .

## One Citation

### The Fundamental Solution of an Elliptic Equation with Singular Drift

- Mathematics
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. For n ≥ 3, we study the existence and asymptotic properties of the fundamental solution for elliptic operators in nondivergence form, L ( x,∂ x ) = a ij ( x ) ∂ i ∂ j + b k ( x ) ∂ k , where the a…

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