JournalsjstVol. 13, No. 2pp. 707–726

Dirichlet fractional Laplacian in multi-tubes

  • Fedor L. Bakharev

    St. Petersburg State University, Russian Federation

  • Alexander I. Nazarov

    St. Petersburg State Uni; St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
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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.

Cite this article

Fedor L. Bakharev, Alexander I. Nazarov, Dirichlet fractional Laplacian in multi-tubes. J. Spectr. Theory 13 (2023), no. 2, pp. 707–726

DOI 10.4171/JST/458