Dirichlet Fractional Laplacian in multi-tubes

2022/09/17 by Bakharev, F. L., Nazarov, A. I. · 2 citations
#35R11 (Primary) #81Q10 (Secondary) #FOS: Mathematics #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.2209.08400

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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