Standard

Resonances for the beam equation. / Korotyaev, E.; Badanin, A.

Days on Diffraction: Proceedings . Institute of Electrical and Electronics Engineers Inc., 2016. p. 218-222.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research

Harvard

Korotyaev, E & Badanin, A 2016, Resonances for the beam equation. in Days on Diffraction: Proceedings . Institute of Electrical and Electronics Engineers Inc., pp. 218-222, 2016 International Conference Days on Diffraction, DD 2016, St. Petersburg, Russian Federation, 27/06/16.

APA

Korotyaev, E., & Badanin, A. (2016). Resonances for the beam equation. In Days on Diffraction: Proceedings (pp. 218-222). Institute of Electrical and Electronics Engineers Inc..

Vancouver

Korotyaev E, Badanin A. Resonances for the beam equation. In Days on Diffraction: Proceedings . Institute of Electrical and Electronics Engineers Inc. 2016. p. 218-222

Author

Korotyaev, E. ; Badanin, A. / Resonances for the beam equation. Days on Diffraction: Proceedings . Institute of Electrical and Electronics Engineers Inc., 2016. pp. 218-222

BibTeX

@inproceedings{28ce6513443a49f6929a6c97e4f569f3,
title = "Resonances for the beam equation",
abstract = "We consider resonances for the beam equation on the half-line. We assume that the coefficients of this equation are constants outside a finite interval. We show that this equation has no eigenvalues and resonances iff the coefficients are constants on the whole half-line. Moreover, we get estimates of the counting function of resonances and describe the forbidden domain. In order to obtain these results, we consider resonances for a standard fourth order differential operator on the half-line with compactly supported coefficients.",
keywords = "eigenvalues and eigenfunctions, Scattering, Diffraction, boundary conditions, Standards",
author = "E. Korotyaev and A. Badanin",
year = "2016",
language = "English",
isbn = "9781509058013",
pages = "218--222",
booktitle = "Days on Diffraction",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
address = "United States",
note = "2016 International Conference Days on Diffraction, DD 2016 ; Conference date: 27-06-2016 Through 01-07-2016",

}

RIS

TY - GEN

T1 - Resonances for the beam equation

AU - Korotyaev, E.

AU - Badanin, A.

PY - 2016

Y1 - 2016

N2 - We consider resonances for the beam equation on the half-line. We assume that the coefficients of this equation are constants outside a finite interval. We show that this equation has no eigenvalues and resonances iff the coefficients are constants on the whole half-line. Moreover, we get estimates of the counting function of resonances and describe the forbidden domain. In order to obtain these results, we consider resonances for a standard fourth order differential operator on the half-line with compactly supported coefficients.

AB - We consider resonances for the beam equation on the half-line. We assume that the coefficients of this equation are constants outside a finite interval. We show that this equation has no eigenvalues and resonances iff the coefficients are constants on the whole half-line. Moreover, we get estimates of the counting function of resonances and describe the forbidden domain. In order to obtain these results, we consider resonances for a standard fourth order differential operator on the half-line with compactly supported coefficients.

KW - eigenvalues and eigenfunctions

KW - Scattering

KW - Diffraction

KW - boundary conditions

KW - Standards

UR - https://ieeexplore.ieee.org/document/7756845

UR - http://www.pdmi.ras.ru/~dd/download/PROC16.pdf

M3 - Conference contribution

SN - 9781509058013

SP - 218

EP - 222

BT - Days on Diffraction

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2016 International Conference Days on Diffraction, DD 2016

Y2 - 27 June 2016 through 1 July 2016

ER -

ID: 7594599