Heat content estimates over sets of finite perimeter
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Acuña Valverde, Luis Guillermo
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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 α-stable processes are given.
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Keywords
Covariance function, Heat content, Functions of bounded variation, Stable processes, Sets of finite perimeter, 510.8 Modelos matemáticos (Simulación matemática)
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https://www.sciencedirect.com/science/article/pii/S0022247X16300270?via%3Dihub