Lacunary sequences that do not influence the uniqueness of solution of the inverse Borg-Levinson problem
Irina Kinzina, Larisa Smirnova, Olga Torshina
Available Online December 2017.
- 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.
- Open Access
- This is an open access article distributed under the CC BY-NC license.
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 - IV International research conference "Information technologies in Science, Management, Social sphere and Medicine" (ITSMSSM 2017) PB - Atlantis Press 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 -