On the spectrum and weakly effective operator for Dirichlet Laplacian in thin deformed tubes

Cesar R. de Oliveira, Alessandra A. Verri

We study the Laplacian in deformed thin (bounded or unbounded) tubes in ?${\mathbb{R}}^3$, i.e., tubular regions along a curve $r(s)$ whose cross sections are multiplied by an appropriate de…