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arXiv · 1706.09477

On the heat content for the poisson kernels over the unit ball in the euclidean space

Luis Acuna Valverde
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Abstract

This paper studies, by employing analytical tools, the small time behavior of the heat content for the Poisson kernel over the unit ball in $\Rd$, $d\geq 2$ by working with its related set covariance function. As a result, we obtain a representation for the third term in the expansion of the heat content over the unit ball and provide the explicit form of the this term in the particular cases $d=2$ and $d=3$.

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Luis Acuna Valverde. 2017-06-28. On the heat content for the poisson kernels over the unit ball in the euclidean space. https://doi.org/10.1112/blms.12384

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