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.

Copyright
© 2017, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the IV International research conference "Information technologies in Science, Management, Social sphere and Medicine" (ITSMSSM 2017)
Series
Advances in Computer Science Research
Publication Date
December 2017
ISBN
978-94-6252-432-3
ISSN
2352-538X
DOI
https://doi.org/10.2991/itsmssm-17.2017.25How to use a DOI?
Copyright
© 2017, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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  -