Global regularity of weak solutions to quasilinear elliptic and parabolic equations with controlled growth
Analysis of PDEs
2012-02-02 v1
Abstract
We establish global regularity for weak solutions to quasilinear divergence form elliptic and parabolic equations over Lipschitz domains with controlled growth conditions on low order terms. The leading coefficients belong to the class of BMO functions with small mean oscillations with respect to .
Keywords
Cite
@article{arxiv.1005.5208,
title = {Global regularity of weak solutions to quasilinear elliptic and parabolic equations with controlled growth},
author = {Hongjie Dong and Doyoon Kim},
journal= {arXiv preprint arXiv:1005.5208},
year = {2012}
}
Comments
24 pages, to be submitted