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

Published 16 Dec 2021 in math.AP | (2112.08856v1)

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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