Homogenization of spectral problem on Riemannian manifold consisting of two domains connected by many tubes

Andrii Khrabustovskyi

The paper deals with the asymptotic behavior as $\eps\to 0$ of the spectrum of Laplace-Beltrami operator $Δ\e$ on the Riemannian manifold $M\e$ ($\mathrm{\dim} M\e=N\geq 2$) depend…