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arXiv · 2005.12845

Higher order terms of the spectral heat content for killed subordinate and subordinate killed Brownian motions related to symmetric {\alpha}-stable processes in R

Hyunchul Park
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Abstract

We investigate the 3rd term of spectral heat content for killed subordinate and subordinate killed Brownian motions on a bounded open interval D = (a, b) in a real line when the underlying subordinators are stable subordinators with index \alpha is in (1, 2) or \alpha = 1. We prove that in the 3rd term of spectral heat content, one can observe the length b-a of the interval D.

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Hyunchul Park. 2020-05-26. Higher order terms of the spectral heat content for killed subordinate and subordinate killed Brownian motions related to symmetric {\alpha}-stable processes in R. https://arxiv.org/abs/2005.12845

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