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.
Original languageEnglish
Title of host publicationDays on Diffraction
Subtitle of host publicationProceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781509058006
ISBN (Print)9781509058013
Publication statusPublished - 2016
EventInternational Conference on Days on Diffraction (DD) -
Duration: 27 Jun 20161 Jul 2016


ConferenceInternational Conference on Days on Diffraction (DD)

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    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..