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arXiv · 2201.03764

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

Hongjie Dong·Seick Kim·Sungjin Lee
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Abstract

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 $x_0$ as that of the corresponding Green's function for the elliptic equation with constant coefficients frozen at $x_0$.

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Hongjie Dong, Seick Kim, Sungjin Lee. 2022-01-11. Note on Green's functions of non-divergence elliptic operators with continuous coefficients. https://doi.org/10.1090/proc/16326

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