Heat content estimates over sets of finite perimeter

Luis Acuna Valverde

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arXiv · 1602.04499

Heat content estimates over sets of finite perimeter

Luis Acuna Valverde

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Abstract

This paper studies by means of standard analytic tools the small time behavior of the heat content over a bounded Lebesgue measurable set of finite perimeter by working with the set covariance function and by imposing conditions on the heat kernels. Applications concerning the heat kernels of rotational invariant $\alpha$-stable processes are given.

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Luis Acuna Valverde. 2016-02-14. Heat content estimates over sets of finite perimeter. https://arxiv.org/abs/1602.04499

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