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arXiv · 2112.08856

The eigenvalue problem for the regional fractional Laplacian in the small order limit

Remi Yvant Temgoua·Tobias Weth
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Abstract

In this note, we study the asymptotic behavior of eigenvalues and eigenfunctions of the regional fractional Laplacian $(-\Delta)^s$ as $ s \to 0^+$. Our analysis leads to a study of the regional logarithmic Laplacian, which arises as a formal derivative of regional fractional Laplacians at $s = 0$.

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Remi Yvant Temgoua, Tobias Weth. 2021-12-16. The eigenvalue problem for the regional fractional Laplacian in the small order limit. https://arxiv.org/abs/2112.08856

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