Title | Investigation of resonances in the acoustic model of the cell |
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Authors | T. S. Yurova^{1}, I. Y. Popov^{1}^{1}ITMO University |

Annotation | We study the Laplace operator for the domain with semitransparent boundary considered as a potential supported by a surface. The asymptotic of the solution of the scattering problem with a singularity on the surface and its relation to resonances are obtained. An application of the result can be explaining the selective destruction of cancer cell membranes in an ultrasound field. |

Keywords | resonances of the scattering matrix, asymptotic |

Citation | Yurova T. S., Popov I. Y. ''Investigation of resonances in the acoustic model of the cell'' [Electronic resource]. Proceedings of the XV International scientific conference "Differential equations and their applications in mathematical modeling". (Saransk, July 15-18, 2021). Saransk: SVMO Publ, 2021. - pp. 204-210. Available at: https://conf.svmo.ru/files/2021/papers/article08.pdf. - Date of access: 30.11.2022. |

**© SVMO, National Research Mordovia State University, 2022**

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