Dirichlet Fractional Laplacian in multi-tubes

Published 17 Sep 2022 in math.SP | (2209.08400v3)

Abstract: We describe the spectrum structure for the restricted Dirichlet fractional Laplacian in multi-tubes, i.e. domains with cylindrical outlets to infinity. Some new effects in comparison with the local case are discovered. In this version, Theorem 4 is essentially improved.

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