Gradient estimates via non-linear potentials
Analysis of PDEs
2009-12-02 v2
Abstract
We present pointwise gradient bounds for solutions to -Laplacean type non-homogeneous equations employing non-linear Wolff type potentials, and then prove similar bounds, via suitable caloric potentials, for solutions to parabolic equations.
Cite
@article{arxiv.0906.4939,
title = {Gradient estimates via non-linear potentials},
author = {Frank Duzaar and Giuseppe Mingione},
journal= {arXiv preprint arXiv:0906.4939},
year = {2009}
}
Comments
The results in the paper have been announced in the journal "Rendiconti Lincei - Matematica e Applicazioni", volume 20, issue 2. American Journal of Mathematics, to appear