On a comparison principle for Trudinger's equation
Analysis of PDEs
2020-03-02 v2
Abstract
We study the comparison principle for non-negative solutions of the equation ∂t∂(∣v∣p−2v)=div(∣∇v∣p−2∇v),1<p<∞. This equation is related to extremals of Poincar\'e inequalities in Sobolev spaces. We apply our result to obtain pointwise control of the large time behavior of solutions.
Cite
@article{arxiv.1901.03591,
title = {On a comparison principle for Trudinger's equation},
author = {Erik Lindgren and Peter Lindqvist},
journal= {arXiv preprint arXiv:1901.03591},
year = {2020}
}
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