  We show optimal upper and lower pointwise estimates for the Green's function
for elliptic operators that are the sum of a Laplacian term and a singular
drift term that behaves like the inverse distance to the boundary, in not
necessarily bounded chord-arc domains in $\R^{n}$ with $n\geq 3$. In
particular, such a term does not belong to the Lorentz space or the Kato space
considered in other recent work of Sakellaris and Mourgoglou. We also do not
make any assumptions on the divergence of the drift term. Adopting standards
arguments, while assuming the Bourgain estimate on the elliptic measure, this
also shows doubling of the corresponding elliptic measure, in the chord-arc
domains.
