Liouville theorems for ancient caloric functions via optimal growth conditions
arXiv:1910.10787
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.
10 pages, comments welcome!