The regularity and Neumann problem for non-symmetric elliptic operators
偏微分方程分析
2007-05-23 v1
摘要
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.
关键词
引用
@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}
}