Lacunary sequences that do not influence the uniqueness of solution of the inverse Borg-Levinson problem
- https://doi.org/10.2991/itsmssm-17.2017.25How to use a DOI?
- inverse problem, inverse problem of spectral analysis, the Laplace operator, potential, recovery of potential, the Dirichlet problem, lacunary sequence
Here we present the inverse problem of spectral analysis with the Dirichlet boundary conditions for the Laplace operator with a potential defined in a bounded domain of multidimensional space. The uniqueness theorem of the recovery of potential in the inverse Borg-Levinson problem with boundary conditions of the first kind is proved. A possible mathematical model of the recovery of potential is built on the basis of this theorem using incomplete spectrum.
- © 2017, the Authors. Published by Atlantis Press.
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Cite this article
TY - CONF AU - Irina Kinzina AU - Larisa Smirnova AU - Olga Torshina PY - 2017/12 DA - 2017/12 TI - Lacunary sequences that do not influence the uniqueness of solution of the inverse Borg-Levinson problem BT - Proceedings of the IV International research conference "Information technologies in Science, Management, Social sphere and Medicine" (ITSMSSM 2017) PB - Atlantis Press SP - 119 EP - 122 SN - 2352-538X UR - https://doi.org/10.2991/itsmssm-17.2017.25 DO - https://doi.org/10.2991/itsmssm-17.2017.25 ID - Kinzina2017/12 ER -