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math.AP2022
Green functions and smooth distances
Joseph Feneuil, Linhan Li, Svitlana Mayboroda
In the present paper, we show that for an optimal class of elliptic operators with non-smooth coefficients on a 1-sided Chord-Arc domain, the boundary of the domain is uniformly re…
math.AP2021
Carleson estimates for the Green function on domains with lower dimensional boundaries
Guy David, Linhan Li, Svitlana Mayboroda
In the present paper, we consider an elliptic divergence form operator in with and prove that its Green function is almost affine, in th…