On the spectrum of a Robin Laplacian in a planar waveguide
Spectral Theory
2016-10-04 v1 Functional Analysis
Abstract
We consider the Laplace operator in a planar waveguide, i.e., an infinite two-dimensional straight strip of constant width, with particular types of Robin boundary conditions. We study the essential spectrum of the corresponding Laplacian when the boundary coupling function has a limit at infinity. Furthermore, we derive sufficient conditions for the existence of discrete spectrum.
Cite
@article{arxiv.1606.05291,
title = {On the spectrum of a Robin Laplacian in a planar waveguide},
author = {Alex Ferreira Rossini},
journal= {arXiv preprint arXiv:1606.05291},
year = {2016}
}