Heat Kernel estimates for some elliptic operators with unbounded diffusion coefficients
Analysis of PDEs
2011-01-21 v1
Abstract
We prove heat kernel bounds for the operator (1 + |x|^{\alpha})\Delta in R^N, through Nash inequalities and weighted Hardy inequalities.
Cite
@article{arxiv.1101.3978,
title = {Heat Kernel estimates for some elliptic operators with unbounded diffusion coefficients},
author = {Giorgio Metafune and Chiara Spina},
journal= {arXiv preprint arXiv:1101.3978},
year = {2011}
}
Comments
16 pages