Green's function for second order elliptic equations in non-divergence form

Published 6 Dec 2017 in math.AP | (1712.02160v3)

Abstract: We construct the Green function for second order elliptic equations in non-divergence form when the mean oscillations of the coefficients satisfy the Dini condition and the domain has $C^{1,1}$ boundary. We also obtain pointwise bounds for the Green functions and its derivatives.

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