Abstract
We investigate heat kernel estimates of the form pt(x,x) ≥ cxt−α, for large enough t, where α and cx are positive reals and cx may depend on x, on manifolds having at least one end with a polynomial volume growth.
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Grigor’yan, A., Sürig, P. Volume Growth and On-diagonal Heat Kernel Bounds on Riemannian Manifolds with an End. Potential Anal 60, 45–77 (2024). https://doi.org/10.1007/s11118-022-10044-7
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DOI: https://doi.org/10.1007/s11118-022-10044-7