Layer potentials and boundary value problems for elliptic equations with complex $L^{\infty }$ coefficients satisfying the small Carleson measure norm condition

Steve Hofmann, Svitlana Mayboroda, Mihalis Mourgoglou

We consider divergence form elliptic equations $Lu:=\nabla \cdot (A\nabla u)=0$ in the half space ${\mathbb{R}}_{+}^{n+1}:=\{(x,t)\in {\mathbb{R}}^n\times (0,\infty )\}$, whose coefficient…