J. Corbin

collaborators

2 papers

math.AP2019

Convergence of spectra of uniformly fattened open book structures

James E. Corbin

We consider a compact $C^{\infty}$ stratified 2D variety $M$ in $R^{3}$ and its $ε$ neighborhood $M_{ε}$ , which we call a "fattened open book structure". Assuming absence of zer…

math-ph2019

Spectra of "fattened" open book structures

James E. Corbin, Peter Kuchment

We establish convergence of spectra of Neumann Laplacian in a thin neighborhood of a branching 2D structure in 3D to the spectrum of an appropriately defined operator on the struct…