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Recovery of potential using module values of its gradient. 2
The method of the recovery of the potential on the module of its gradient under conditionof the similarity of the potential to that given as the limit of the succession of the solations of the boundary problems of Neumann for the Laplace equation that define the disturbing potential proposed in the...
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Subbotin Institute of Geophysics of the NAS of Ukraine
2000
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journalsuranua-geofizicheskiy-article-2145762020-10-17T06:53:40Z Recovery of potential using module values of its gradient. 2 Chernyi, A. V. Yakimchik, A. I. The method of the recovery of the potential on the module of its gradient under conditionof the similarity of the potential to that given as the limit of the succession of the solations of the boundary problems of Neumann for the Laplace equation that define the disturbing potential proposed in the first part is substantiated. The succession of the disturbing potential is generated by the succession of the solutions of linear integral equations of the second kind with compact operators having large cores. A correct solubility of the given kind of equations is established and the convergence of the succession of the solution of the Neumann's problems to the function unambiguously generating the desired potential is proven. Subbotin Institute of Geophysics of the NAS of Ukraine 2000-12-01 Article Article application/pdf https://journals.uran.ua/geofizicheskiy/article/view/214576 10.24028/gzh.0203-3100.v22i6.2000.214576 Geofizicheskiy Zhurnal; Vol. 22 No. 6 (2000); 166-183 Геофизический журнал; Том 22 № 6 (2000); 166-183 Геофізичний журнал; Том 22 № 6 (2000); 166-183 2524-1052 0203-3100 rus https://journals.uran.ua/geofizicheskiy/article/view/214576/214694 Copyright (c) 2020 Geofizicheskiy Zhurnal https://creativecommons.org/licenses/by/4.0 |
| institution |
Geofizicheskiy Zhurnal |
| collection |
OJS |
| language |
rus |
| format |
Article |
| author |
Chernyi, A. V. Yakimchik, A. I. |
| spellingShingle |
Chernyi, A. V. Yakimchik, A. I. Recovery of potential using module values of its gradient. 2 |
| author_facet |
Chernyi, A. V. Yakimchik, A. I. |
| author_sort |
Chernyi, A. V. |
| title |
Recovery of potential using module values of its gradient. 2 |
| title_short |
Recovery of potential using module values of its gradient. 2 |
| title_full |
Recovery of potential using module values of its gradient. 2 |
| title_fullStr |
Recovery of potential using module values of its gradient. 2 |
| title_full_unstemmed |
Recovery of potential using module values of its gradient. 2 |
| title_sort |
recovery of potential using module values of its gradient. 2 |
| description |
The method of the recovery of the potential on the module of its gradient under conditionof the similarity of the potential to that given as the limit of the succession of the solations of the boundary problems of Neumann for the Laplace equation that define the disturbing potential proposed in the first part is substantiated. The succession of the disturbing potential is generated by the succession of the solutions of linear integral equations of the second kind with compact operators having large cores. A correct solubility of the given kind of equations is established and the convergence of the succession of the solution of the Neumann's problems to the function unambiguously generating the desired potential is proven. |
| publisher |
Subbotin Institute of Geophysics of the NAS of Ukraine |
| publishDate |
2000 |
| url |
https://journals.uran.ua/geofizicheskiy/article/view/214576 |
| work_keys_str_mv |
AT chernyiav recoveryofpotentialusingmodulevaluesofitsgradient2 AT yakimchikai recoveryofpotentialusingmodulevaluesofitsgradient2 |
| first_indexed |
2024-04-21T19:43:04Z |
| last_indexed |
2024-04-21T19:43:04Z |
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1796974664308752384 |