### 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.

Original language | English |
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Title of host publication | Days on Diffraction |

Subtitle of host publication | Proceedings |

Publisher | Institute of Electrical and Electronics Engineers Inc. |

Pages | 218-222 |

ISBN (Electronic) | 9781509058006 |

ISBN (Print) | 9781509058013 |

Publication status | Published - 2016 |

Event | International Conference on Days on Diffraction (DD) - Duration: 27 Jun 2016 → 1 Jul 2016 |

### Conference

Conference | International Conference on Days on Diffraction (DD) |
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Period | 27/06/16 → 1/07/16 |

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## Cite this

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..