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arXiv · 0707.4299

Neumann Heat kernel monotonicity

R. Bañuelos·T. Kulczycki·B. Siudeja
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Abstract

We prove that the diagonal of the transition probabilities for the d-dimensional Bessel processes on (0, 1], reflected at 1, which we denote by $p_R^N(t, r,r)$, is an increasing function of r for d>2 and that this is false for d=2.

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R. Bañuelos, T. Kulczycki, B. Siudeja. 2007-07-29. Neumann Heat kernel monotonicity. https://doi.org/10.2140/agt.2008.8.1989

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