English

A weighted $L_p$-theory for second-order elliptic and parabolic partial differential systems on a half space

Analysis of PDEs 2012-04-12 v1

Abstract

In this paper we develop a Fefferman-Stein theorem, a Hardy-Littlewood theorem and sharp function estimations in weighted Sobolev spaces. We also provide uniqueness and existence results for second-order elliptic and parabolic partial differential systems in weighed Sobolev spaces.

Keywords

Cite

@article{arxiv.1204.2325,
  title  = {A weighted $L_p$-theory for second-order elliptic and parabolic partial differential systems on a half space},
  author = {Kyeong-Hun Kim and Kijung Lee},
  journal= {arXiv preprint arXiv:1204.2325},
  year   = {2012}
}