2015•arXiv (Cornell University)Open access

A remark on the Gaussian lower bound for the Neumann heat kernel of the Laplace-Beltrami operator

Mourad Choulli, Laurent Kayser

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Abstract

We adapt in the present note the perturbation method introduced in [3] to get a Gaussian lower bound for the Neumann heat kernel of the Laplace-Beltrami operator on an open subset of a compact Riemannian manifold.

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What this paper is about

We adapt in the present note the perturbation method introduced in [3] to get a Gaussian lower bound for the Neumann heat kernel of the Laplace-Beltrami operator on an open subset of a compact Riemannian manifold.

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Available abstract

We adapt in the present note the perturbation method introduced in [3] to get a Gaussian lower bound for the Neumann heat kernel of the Laplace-Beltrami operator on an open subset of a compact Riemannian manifold.

Key concepts: Heat kernel, Laplace–Beltrami operator, Riemannian manifold, Gaussian, Laplace operator, Mathematics, Operator (biology), Mathematical analysis

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