Determination of point sources in vibrating beams by boundary measurements: Identifiability, stability, and reconstruction results
We consider two inverse problems of determining point sources in vibrating beams by boundary measurements. We show that the boundary observation at one extremity of the domain determines uniquely the sources for an arbitrarily small time of observation. We further establish conditional stability res...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2004-02-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2004/20/abstr.html |
| _version_ | 1818645946706165760 |
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| author | Serge Nicaise Ouahiba Zair |
| author_facet | Serge Nicaise Ouahiba Zair |
| author_sort | Serge Nicaise |
| collection | DOAJ |
| description | We consider two inverse problems of determining point sources in vibrating beams by boundary measurements. We show that the boundary observation at one extremity of the domain determines uniquely the sources for an arbitrarily small time of observation. We further establish conditional stability results and give reconstructing schemes. |
| first_indexed | 2024-12-17T00:38:49Z |
| format | Article |
| id | doaj.art-dba3e68ea29242a095f44f9f52f51e30 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-17T00:38:49Z |
| publishDate | 2004-02-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-dba3e68ea29242a095f44f9f52f51e302022-12-21T22:10:05ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912004-02-01200420117Determination of point sources in vibrating beams by boundary measurements: Identifiability, stability, and reconstruction resultsSerge NicaiseOuahiba ZairWe consider two inverse problems of determining point sources in vibrating beams by boundary measurements. We show that the boundary observation at one extremity of the domain determines uniquely the sources for an arbitrarily small time of observation. We further establish conditional stability results and give reconstructing schemes.http://ejde.math.txstate.edu/Volumes/2004/20/abstr.htmlInverse problemsbeam equations. |
| spellingShingle | Serge Nicaise Ouahiba Zair Determination of point sources in vibrating beams by boundary measurements: Identifiability, stability, and reconstruction results Electronic Journal of Differential Equations Inverse problems beam equations. |
| title | Determination of point sources in vibrating beams by boundary measurements: Identifiability, stability, and reconstruction results |
| title_full | Determination of point sources in vibrating beams by boundary measurements: Identifiability, stability, and reconstruction results |
| title_fullStr | Determination of point sources in vibrating beams by boundary measurements: Identifiability, stability, and reconstruction results |
| title_full_unstemmed | Determination of point sources in vibrating beams by boundary measurements: Identifiability, stability, and reconstruction results |
| title_short | Determination of point sources in vibrating beams by boundary measurements: Identifiability, stability, and reconstruction results |
| title_sort | determination of point sources in vibrating beams by boundary measurements identifiability stability and reconstruction results |
| topic | Inverse problems beam equations. |
| url | http://ejde.math.txstate.edu/Volumes/2004/20/abstr.html |
| work_keys_str_mv | AT sergenicaise determinationofpointsourcesinvibratingbeamsbyboundarymeasurementsidentifiabilitystabilityandreconstructionresults AT ouahibazair determinationofpointsourcesinvibratingbeamsbyboundarymeasurementsidentifiabilitystabilityandreconstructionresults |