Liouville theorems for ancient caloric functions via optimal growth conditions
Metric Geometry
2019-10-25 v1 Analysis of PDEs
Abstract
We provide some Liouville theorems for ancient nonnegative solutions of the heat equation on a complete non-compact Riemannian manifold with Ricci curvature bounded from below. We determine growth conditions ensuring triviality of the latters, showing their optimality through examples.
Keywords
Cite
@article{arxiv.1910.10787,
title = {Liouville theorems for ancient caloric functions via optimal growth conditions},
author = {Sunra Mosconi},
journal= {arXiv preprint arXiv:1910.10787},
year = {2019}
}
Comments
10 pages, comments welcome!