Gradient estimate and a Liouville theorem for a $p$-Laplacian evolution equation with a gradient nonlinearity
Analysis of PDEs
2014-05-26 v1
Abstract
In this paper, we establish a local gradient estimate for a -Lpalacian equation with a fast growing gradient nonlinearity. With this estimate, we can prove a parabolic Liouville theorem for ancient solutions satisfying some growth restriction near infinity.
Cite
@article{arxiv.1405.5896,
title = {Gradient estimate and a Liouville theorem for a $p$-Laplacian evolution equation with a gradient nonlinearity},
author = {Amal Attouchi},
journal= {arXiv preprint arXiv:1405.5896},
year = {2014}
}