Volume growth and on-diagonal heat kernel bounds on Riemannian manifolds with an end
Alexander Asaturovich Grigor'yan, Philipp Sürig · arXiv (Cornell University) · 2022
We investigate heat kernel estimates of the form $p_{t}(x, x)\geq c_{x}t^{-α},$ for large enough $t,$ where $α$ and $c_{x}$ are positive reals and $c_{x}$ may depend on $x,$ on manifolds having at least one end.