Dirichlet fractional Laplacian in multi-tubes

Dirichlet fractional Laplacian in multi-tubes

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.

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Veröffentlicht in:Journal of spectral theory 2023, Vol.13 (2), p.707-726
Hauptverfasser: Bakharev, Fedor, Nazarov, Alexander
Format: Artikel
Sprache:eng
Schlagworte:
Eigenvalues
Laplacian operator
Mathematical research
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Beschreibung
Zusammenfassung: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.
ISSN:1664-039X
1664-0403
DOI:10.4171/JST/458