| In this paper, I investigate divergence-form linear elliptic partial differential operators on bounded Lipschitz domains in R d+1, d ≥ 2;, with L2 boundary data. In all of the results, the coefficients are assumed to be real, bounded, measurable, and not necessarily symmetric. I first show that for single equations, when the coefficients are small, in Carleson norm, compared to one that is continuous on the boundary, I obtain solvability for both the Dirichlet and regularity boundary value problems.;Then, I prove similar solvability results for systems of equations assuming that the coefficients are, in addition to being bounded and measurable, Holder continuous, and " pseudo-symmetric ". |
