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Essential spectrum of a periodic waveguide with non-periodic perturbation. / Nazarov, S. A.; Taskinen, Jari.

In: Journal of Mathematical Analysis and Applications, Vol. 463, No. 2, 15.07.2018, p. 922-933.

Research output: Contribution to journal › Article › peer-review

Harvard

Nazarov, SA & Taskinen, J 2018, 'Essential spectrum of a periodic waveguide with non-periodic perturbation', Journal of Mathematical Analysis and Applications, vol. 463, no. 2, pp. 922-933. https://doi.org/10.1016/j.jmaa.2018.03.057

APA

Nazarov, S. A., & Taskinen, J. (2018). Essential spectrum of a periodic waveguide with non-periodic perturbation. Journal of Mathematical Analysis and Applications, 463(2), 922-933. https://doi.org/10.1016/j.jmaa.2018.03.057

Vancouver

Nazarov SA, Taskinen J. Essential spectrum of a periodic waveguide with non-periodic perturbation. Journal of Mathematical Analysis and Applications. 2018 Jul 15;463(2):922-933. https://doi.org/10.1016/j.jmaa.2018.03.057

Author

Nazarov, S. A. ; Taskinen, Jari. / Essential spectrum of a periodic waveguide with non-periodic perturbation. In: Journal of Mathematical Analysis and Applications. 2018 ; Vol. 463, No. 2. pp. 922-933.

BibTeX

@article{2e696308f2b24a31b546222ebcf21080,
title = "Essential spectrum of a periodic waveguide with non-periodic perturbation",
abstract = "We consider the spectral Dirichlet–Laplacian problem on a domain which is formed from a periodic waveguide Π perturbed by non-compact, non-periodic changes of geometry. We show that the domain perturbation causes an addition to the essential spectrum, which consists of isolated points belonging to the discrete spectrum of a model problem. This model problem is posed on a domain, which is just a compact perturbation of Π. We discuss the position of the new spectral components in relation to the essential spectrum of the problem in Π.",
keywords = "Dirichlet–Laplace problem, Essential spectrum, Non-periodic perturbation, Periodic, Sobolev space, Waveguide",
author = "Nazarov, {S. A.} and Jari Taskinen",
year = "2018",
month = jul,
day = "15",
doi = "10.1016/j.jmaa.2018.03.057",
language = "English",
volume = "463",
pages = "922--933",
journal = "Journal of Mathematical Analysis and Applications",
issn = "0022-247X",
publisher = "Elsevier",
number = "2",

}

RIS

TY - JOUR

T1 - Essential spectrum of a periodic waveguide with non-periodic perturbation

AU - Nazarov, S. A.

AU - Taskinen, Jari

PY - 2018/7/15

Y1 - 2018/7/15

N2 - We consider the spectral Dirichlet–Laplacian problem on a domain which is formed from a periodic waveguide Π perturbed by non-compact, non-periodic changes of geometry. We show that the domain perturbation causes an addition to the essential spectrum, which consists of isolated points belonging to the discrete spectrum of a model problem. This model problem is posed on a domain, which is just a compact perturbation of Π. We discuss the position of the new spectral components in relation to the essential spectrum of the problem in Π.

AB - We consider the spectral Dirichlet–Laplacian problem on a domain which is formed from a periodic waveguide Π perturbed by non-compact, non-periodic changes of geometry. We show that the domain perturbation causes an addition to the essential spectrum, which consists of isolated points belonging to the discrete spectrum of a model problem. This model problem is posed on a domain, which is just a compact perturbation of Π. We discuss the position of the new spectral components in relation to the essential spectrum of the problem in Π.

KW - Dirichlet–Laplace problem

KW - Essential spectrum

KW - Non-periodic perturbation

KW - Periodic

KW - Sobolev space

KW - Waveguide

UR - http://www.scopus.com/inward/record.url?scp=85044500118&partnerID=8YFLogxK

U2 - 10.1016/j.jmaa.2018.03.057

DO - 10.1016/j.jmaa.2018.03.057

M3 - Article

VL - 463

SP - 922

EP - 933

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

SN - 0022-247X

IS - 2

ER -

ID: 35208430