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The regularity and Neumann problem for non-symmetric elliptic operators

The regularity and Neumann problem for non-symmetric elliptic operators

We establish optimal $L^p$ bounds for the non-tangential maximal function of the gradient of the solution to a second-order elliptic operator in divergence form, possibly non-symmetric, with bounded measurable coefficients independent of the vertical variable, on the domain above a Lipschitz graph in the plane, in terms of the $L^p$-norm …