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

DOI

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/).

Download article (PDF)

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  - 10.2991/itsmssm-17.2017.25
ID  - Kinzina2017/12
ER  -