Determination of point sources in vibrating beams by boundary measurements: Identifiability, stability, and reconstruction results

Electronic Journal of Differential Equations

Volumn 2004, Issue , 2004, Pages 1-17

  Nicaise, Serge ^a   Zaïr, Ouahiba ^b  

^a UNIVERSITÉ DE VALENCIENNES   (France)

^b UNIVERSITY OF SCIENCES AND TECHNOLOGY HOUARI BOUMEDIENE   (Algeria)

Author keywords

Beam equations; Inverse problems

Indexed keywords

EID: 3042536925     PISSN: 10726691     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (10)

1. G. Bruckner and M. Yamamoto, Identification of point sources by boundary observations: uniqueness, stability and reconstruction, in: E. A. Lipitakis ed., Hermis' 96, Proceedings of the third hellenic european conference on Math. and Informatics, Athens, LEA, 154-161, 1997.
2. G. Bruckner and M. Yamamoto, On the determination of point sources by boundary observations: uniqueness, stability and reconstruction, Preprint WIAS, 252, Berlin, 1996.
3. G. Bruckner and M. Yamamoto, Determination of point wave sources by pointwise observations: stability and reconstruction, Inverse problems, 16, 2000, 723-748.
4. V. Komornik, Exact controllability and stabilization, the multiplier method, RMA 36, Masson, Paris, 1994.
5. V. Komornik and M. Yamamoto, Upper and lower estimates in determining point sources in a wave equation, Inverse Problems, 18, 2002, 319-329.
6. J.-L. Lions, Contrôlabilité exacte, perturbations et stabilisation de systèmes distribués, tome 1, RMA 8, Masson, Paris, 1988.
7. S. Nicaise and O. Zaïr, Identifiability, stability and reconstruction results of point sources by boundary measurements in heteregeneous trees, Revista Matematica Univ. Complutense Madrid, 16, 2003, p. 1-28.
8. M. Yamamoto, Well-posedness of an inverse hyperbolic problem by the Hilbert uniqueness method, J. Inverse and Ill-Problems, 2, 1994, 349-368.
9. M. Yamamoto, Stability, reconstruction and regularization for an inverse source hyperbolic problem by a control method, Inverse Problems, 11, 1995, 481-496.
10. M. Yamamoto, Determination of forces in vibrations of beams and plates by pointwise and line observations, J. Inverse and Ill-Problems, 4, 1996, 437-457.