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

Seick Kim; Sungjin Lee

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

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arxiv 2103.04071 v2 pith:DYRUWWBO submitted 2021-03-06 math.AP

Seick Kim , Sungjin Lee This is my paper · ORCID

classification math.AP

keywords coefficientsgreenellipticequationsestimatesformfunctionnon-divergence

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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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