Analyticity of layer potentials and $L^2$ solvability of boundary value problems for divergence form elliptic equations with complex $L^{\infty }$ coefficients

M. Alfonseca, P. Auscher, A. Axelsson +2

We consider divergence form elliptic operators of the form $L=-\dv A(x)\nabla$, defined in $R^{n+1}=\{(x,t)\in R^n\times R\}$, $n\ge 2$, where the $L^{\infty }$ coefficient ma…