Proceedings of the IV International research conference "Information technologies in Science, Management, Social sphere and Medicine" (ITSMSSM 2017)

Lacunary sequences that do not influence the uniqueness of solution of the inverse Borg-Levinson problem

Authors
Irina Kinzina, Larisa Smirnova, Olga Torshina
Corresponding Author
Irina Kinzina
Available Online December 2017.
DOI
https://doi.org/10.2991/itsmssm-17.2017.25How to use a DOI?
Keywords
inverse problem, inverse problem of spectral analysis, the Laplace operator, potential, recovery of potential, the Dirichlet problem, lacunary sequence
Abstract
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.

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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  -