Influence of the bound states in the Neumann Laplacian in a thin waveguide

Carlos R. Mamani, Alessandra A. Verri

We study the Neumann Laplacian operator $-{\Delta }_{\Omega }^N$ restricted to a twisted waveguide $\Omega$. The goal is to find the effective operator when the diameter of $\Omega$ tends to zero. However,…