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- W3040471775 abstract "In this paper we study the asymptotic behavior, as $tdownarrow 0$, of the spectral heat content $Q^{(alpha)}_{D}(t)$ for isotropic $alpha$-stable processes, $alphain [1,2)$, in bounded $C^{1,1}$ open sets $Dsubset R^{d}$, $dgeq 2$. Together with the results from cite{Val2017} for $d=1$ and cite{GPS19} for $alphain (0,1)$, the main theorem of this paper establishes the asymptotic behavior of the spectral heat content up to the second term for all $alphain (0,2)$ and $dgeq1$, and resolves the conjecture raised in cite{Val2017}." @default.
- W3040471775 created "2020-07-10" @default.
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- W3040471775 date "2020-07-06" @default.
- W3040471775 modified "2023-09-24" @default.
- W3040471775 title "Spectral heat content for {alpha}-stable processes in C1,1 open sets" @default.
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- W3040471775 doi "https://doi.org/10.48550/arxiv.2007.02815" @default.
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