On regular and singular perturbations of acoustic and quantum waveguides
Mathematical Physics
2009-11-10 v2 math.MP
Abstract
We consider regular and singular perturbations of the Dirichlet and Neumann boundary value problems for the Helmholtz equation in -dimensional cylinders. Existence of eigenvalues and their asymptotics are studied.
Keywords
Cite
@article{arxiv.math-ph/0402039,
title = {On regular and singular perturbations of acoustic and quantum waveguides},
author = {Rustem R. Gadyl'shin},
journal= {arXiv preprint arXiv:math-ph/0402039},
year = {2009}
}