Heat Content for Stable Processes in Domains of $$\mathbb {R}^d$$ |
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Authors: | Luis Acuña Valverde |
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Institution: | 1.Department of Mathematics,Universidad de Costa Rica,San José,Costa Rica |
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Abstract: | This paper studies the small time behavior of the heat content for rotationally invariant \(\alpha \)-stable processes, \(0<\alpha \le 2\), in domains of \(\mathbb {R}^d\). Unlike the asymptotics for the heat trace, the behavior of the heat content differs depending on the range of \(\alpha \) according to \(0<\alpha <1\), \(\alpha =1\) and \(1<\alpha \le 2\). |
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