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

• Datum: 2006
• Hauptverfasser: Mel'nik, T. A., Мельник, Т. А.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2006
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3447
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

A spectral boundary-value problem is considered in a plane thick two-level junction $\Omega_{\varepsilon}$, which is the union of a domain $\Omega_{0}$ and a large number $2N$ of thin rods with thickness of order $\varepsilon = \mathcal{O} (N^{-1})$. The thin rods are divided into two levels depen...