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arXiv · 2209.08400

Dirichlet Fractional Laplacian in multi-tubes

F. L. Bakharev·A. I. Nazarov
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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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F. L. Bakharev, A. I. Nazarov. 2023-07-31. Dirichlet Fractional Laplacian in multi-tubes. https://arxiv.org/abs/2209.08400

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