Pathology of essential spectra of elliptic problems in periodic family of beads threaded by a spoke thinning at infinity

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Pathology of essential spectra of elliptic problems in periodic family of beads threaded by a spoke thinning at infinity. / Nazarov, Sergei A.; Taskinen, Jari.

In: Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica E Applicazioni, Vol. 31, No. 4, 2020, p. 939-969.

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

Harvard

Nazarov, SA & Taskinen, J 2020, 'Pathology of essential spectra of elliptic problems in periodic family of beads threaded by a spoke thinning at infinity', Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica E Applicazioni, vol. 31, no. 4, pp. 939-969. https://doi.org/10.4171/RLM/921

APA

Nazarov, S. A., & Taskinen, J. (2020). Pathology of essential spectra of elliptic problems in periodic family of beads threaded by a spoke thinning at infinity. Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica E Applicazioni, 31(4), 939-969. https://doi.org/10.4171/RLM/921

Vancouver

Nazarov SA, Taskinen J. Pathology of essential spectra of elliptic problems in periodic family of beads threaded by a spoke thinning at infinity. Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica E Applicazioni. 2020;31(4):939-969. https://doi.org/10.4171/RLM/921

Author

Nazarov, Sergei A. ; Taskinen, Jari. / Pathology of essential spectra of elliptic problems in periodic family of beads threaded by a spoke thinning at infinity. In: Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica E Applicazioni. 2020 ; Vol. 31, No. 4. pp. 939-969.

BibTeX

@article{94acee08ec2b4cf88afcc9d18f05673e,

title = "Pathology of essential spectra of elliptic problems in periodic family of beads threaded by a spoke thinning at infinity",

abstract = "We construct {\textquoteleft}{\textquoteleft}almost periodic{\textquoteright}{\textquoteright} unbounded domains, where a large class of elliptic spectral problems have essential spectra possessing peculiar structure: they consist of monotone, non-negative sequences of isolated points and thus have infinitely many gaps.",

keywords = "Elliptic system, Essential spectrum, Spectral gap, Spectral problem, Wave-guide",

author = "Nazarov, {Sergei A.} and Jari Taskinen",

year = "2020",

doi = "10.4171/RLM/921",

language = "English",

volume = "31",

pages = "939--969",

journal = "Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica E Applicazioni",

issn = "1120-6330",

publisher = "European Mathematical Society Publishing House",

number = "4",

}

RIS

TY - JOUR

T1 - Pathology of essential spectra of elliptic problems in periodic family of beads threaded by a spoke thinning at infinity

AU - Nazarov, Sergei A.

AU - Taskinen, Jari

PY - 2020

Y1 - 2020

N2 - We construct ‘‘almost periodic’’ unbounded domains, where a large class of elliptic spectral problems have essential spectra possessing peculiar structure: they consist of monotone, non-negative sequences of isolated points and thus have infinitely many gaps.

AB - We construct ‘‘almost periodic’’ unbounded domains, where a large class of elliptic spectral problems have essential spectra possessing peculiar structure: they consist of monotone, non-negative sequences of isolated points and thus have infinitely many gaps.

KW - Elliptic system

KW - Essential spectrum

KW - Spectral gap

KW - Spectral problem

KW - Wave-guide

UR - http://www.scopus.com/inward/record.url?scp=85102517506&partnerID=8YFLogxK

U2 - 10.4171/RLM/921

DO - 10.4171/RLM/921

M3 - Article

AN - SCOPUS:85102517506

VL - 31

SP - 939

EP - 969

JO - Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica E Applicazioni

JF - Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica E Applicazioni

SN - 1120-6330

IS - 4

ER -

ID: 88366322