An Isaac Newton Institute Workshop

Graph Models of Mesoscopic Systems, Wave-Guides and Nano-Structures

Finding eigenvalues and resonances of the Laplacian on domains with regular ends

Author: M. Levitin (Heriot-Watt University)

Abstract

In this joint work with Marco Marletta (Cardiff), we present a simple uniform algorithm for finding eigenvalues (if they exist) lying below or embedded into the continuous spectrum, as well as complex resonances, of the Laplace operator on infinite domains with regular ends - e.g. cylindrical.