Volume growth and on-diagonal heat kernel bounds on Riemannian manifolds with an end

Alexander Grigor'yan; Philipp Sürig

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arXiv · 2201.05695

Volume growth and on-diagonal heat kernel bounds on Riemannian manifolds with an end

Alexander Grigor'yan·Philipp Sürig

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Abstract

We investigate heat kernel estimates of the form $p_{t}(x, x)\geq c_{x}t^{-\alpha},$ for large enough $t,$ where $\alpha$ and $c_{x}$ are positive reals and $c_{x}$ may depend on $x,$ on manifolds having at least one end.

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Alexander Grigor'yan, Philipp Sürig. 2022-01-14. Volume growth and on-diagonal heat kernel bounds on Riemannian manifolds with an end. https://arxiv.org/abs/2201.05695

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