Gaussian heat kernel upper bounds via Phragm\'en-Lindel\"of theorem
Analysis of PDEs
2014-02-26 v1
Abstract
We prove that in presence of Gaussian estimates, so-called Davies-Gaffney estimates, on-diagonal upper bounds imply precise off-diagonal Gaussian upper bounds for the kernels of analytic families of operators on metric measure spaces.
Cite
@article{arxiv.math/0609429,
title = {Gaussian heat kernel upper bounds via Phragm\'en-Lindel\"of theorem},
author = {Thierry Coulhon and Adam Sikora},
journal= {arXiv preprint arXiv:math/0609429},
year = {2014}
}