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arXiv · 2103.04071

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

Seick Kim·Sungjin Lee
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Abstract

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 present a sharp comparison with the corresponding Green's function for constant coefficients equations.

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Seick Kim, Sungjin Lee. 2021-05-11. Estimates for Green's functions of elliptic equations in non-divergence form with continuous coefficients. https://doi.org/10.4208/aam.oa-2021-0001

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