The regularity and Neumann problem for non-symmetric elliptic operators
Analysis of PDEs
2007-05-23 v1
Abstract
We establish optimal L^p bounds for the nontangential 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 at the boundary of the tangential derivative of the Dirichlet data, or of the Neumann data.
Keywords
Cite
@article{arxiv.math/0610766,
title = {The regularity and Neumann problem for non-symmetric elliptic operators},
author = {Carlos E. Kenig and David J. Rule},
journal= {arXiv preprint arXiv:math/0610766},
year = {2007}
}