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arXiv · 1807.11072

Pointwise monotonicity of heat kernels

Diego Alonso-Orán·Fernando Chamizo·Ángel D. Martínez·Albert Mas
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Abstract

In this paper the authors present a proof of a pointwise radial monotonicity property of heat kernels that is shared by the euclidean spaces, spheres and hyperbolic spaces. The main result deals with monotonicity from special points on revolution hypersurfaces from which the aforementioned are deduced. The proof relies on a non straightforward but elementary application of the parabolic maximum principle.

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Diego Alonso-Orán, Fernando Chamizo, Ángel D. Martínez, Albert Mas. 2018-07-29. Pointwise monotonicity of heat kernels. https://arxiv.org/abs/1807.11072

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