论文标题

注意与连续系数的非差异椭圆算子的功能

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

论文作者

Dong, Hongjie, Kim, Seick, Lee, Sungjin

论文摘要

我们改善了Kim和Lee的结果(Ann。Appl。Math。37(2):111---130,2021):表明,如果以非差异形式的椭圆形操作员的系数是DINI平均振荡的,则其绿色功能具有相同的nymptotic行为,与相同的$ x_0 $ x_0 $相同的greos frol frol frol frol frol frol frol frol from from for, $ x_0 $。

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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