Dirichlet Fractional Laplacian in multi-tubes
Spectral Theory
2023-08-01 v3
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.
Cite
@article{arxiv.2209.08400,
title = {Dirichlet Fractional Laplacian in multi-tubes},
author = {F. L. Bakharev and A. I. Nazarov},
journal= {arXiv preprint arXiv:2209.08400},
year = {2023}
}
Comments
22 pages, 2 figures