Twisted waveguide with a Neumann window
Spectral Theory
2017-04-25 v3 Mathematical Physics
math.MP
Abstract
This paper is concerned with the study of theexistence/non-existence of the discrete spectrum of the Laplaceoperator on a domain of which consists in atwisted tube. This operator is defined by means of mixed boundaryconditions. Here we impose Neumann Boundary conditions on abounded open subset of the boundary of the domain (the Neumannwindow) and Dirichlet boundary conditions elsewhere.
Cite
@article{arxiv.1602.00929,
title = {Twisted waveguide with a Neumann window},
author = {Philippe Briet and Hiba Hammedi},
journal= {arXiv preprint arXiv:1602.00929},
year = {2017}
}