Asymptotic behavior of eigenvalues and eigenfunctions of the Fourier problem in a thick multilevel junction

• Veröffentlicht in: Український математичний журнал
• Datum: 2006
• 1. Verfasser: Melnik, T.A.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Інститут математики НАН України 2006
• Schlagworte: Статті
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/164954
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Asymptotic behavior of eigenvalues and eigenfunctions of the Fourier problem in a thick multilevel junction / T.A. Melnik // Український математичний журнал. — 2006. — Т. 58, № 2. — С. 195–216. — Бібліогр.: 34 назв. — англ.

A spectral boundary-value problem is considered in a plane thick two-level junction Ωε, which is the union of a domain Ω₀ and a large number 2N of thin rods with thickness of order ε=O(N⁻¹). The thin rods are divided into two levels depending on their length. In addition, the thin rods from each lev...