On the spectrum of Robin Laplacian in a planar waveguide

Alex Ferreira Rossini

Czechoslovak Mathematical Journal (2019)

  • Volume: 69, Issue: 2, page 485-501
  • ISSN: 0011-4642

Abstract

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We consider the Laplace operator in a planar waveguide, i.e. an infinite two-dimensional straight strip of constant width, with 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.

How to cite

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Rossini, Alex Ferreira. "On the spectrum of Robin Laplacian in a planar waveguide." Czechoslovak Mathematical Journal 69.2 (2019): 485-501. <http://eudml.org/doc/294503>.

@article{Rossini2019,
abstract = {We consider the Laplace operator in a planar waveguide, i.e. an infinite two-dimensional straight strip of constant width, with 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.},
author = {Rossini, Alex Ferreira},
journal = {Czechoslovak Mathematical Journal},
keywords = {planar waveguide; discrete spectrum; Robin boundary conditions},
language = {eng},
number = {2},
pages = {485-501},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the spectrum of Robin Laplacian in a planar waveguide},
url = {http://eudml.org/doc/294503},
volume = {69},
year = {2019},
}

TY - JOUR
AU - Rossini, Alex Ferreira
TI - On the spectrum of Robin Laplacian in a planar waveguide
JO - Czechoslovak Mathematical Journal
PY - 2019
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 69
IS - 2
SP - 485
EP - 501
AB - We consider the Laplace operator in a planar waveguide, i.e. an infinite two-dimensional straight strip of constant width, with 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.
LA - eng
KW - planar waveguide; discrete spectrum; Robin boundary conditions
UR - http://eudml.org/doc/294503
ER -

References

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