Some links between 2D Laplace inverse problems and approximation in hardy classes: Constructive identification and stability properties

Proceedings of the IEEE Conference on Decision and Control

Volumn 2, Issue , 2000, Pages 2005-2010

  Chaabane, S ^a   Aoua, M ^a   Leblond, J ^b  

^a ENIT LAMSIN   (Tunisia)

^b INRIA   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; INVERSE PROBLEMS; LAPLACE TRANSFORMS; LEAST SQUARES APPROXIMATIONS; MATHEMATICAL MODELS; ROBUSTNESS (CONTROL SYSTEMS); SYSTEM STABILITY;

HARDY CLASSES; ROBIN COEFFICIENT; TWO DIMENSIONAL LAPLACE INVERSE PROBLEMS;

IDENTIFICATION (CONTROL SYSTEMS);

EID: 0034439341     PISSN: 01912216     EISSN: None     Source Type: Journal    
DOI: 10.1109/CDC.2000.912159     Document Type: Article

References (25)

1. Examples of instability in inverse boundary-value problems
2. Complex analysis
3. Some extremal problems linked with identification fr a partial frequency data. In 10th conference on analysis and optimization of systems, Sophia-Antipolis
4. Identification harmonique et traces des classes de Hardy sur un arc de cercle
5. p functions subsets of the circle with 1 ≤ p < ∞
6. How can the meromorphic approximation help to solve some 2D inverse problems for the Laplacian?
7. ∞ functions on subsets of the circle
8. Problems of adamjan-arov-krein type on subsets of the circle and minimal norm extensions
9. On the recovery of functions from pointwise boundary values in a Hardy-Sobolev class of the disk
10. Complex analytic methods for partial differential equations
11. Analyse fonctionnelle
12. Étude de quelques problèmes inverses
13. Identification of Robin coefficients by the means of boundary measurements
14. Parameter identification for laplace equation and approximation in analytic classes
15. An inversion algorithm using fading regularization
16. Bounded analytic functions
17. An inverse Robin problem for Laplace's equation: Theoretical results and numerical methods
18. Uniqueness and stability in multi-dimensional inverse problems
19. An inverse problem in corrosion detection
20. A computational quasi-reversibility method for cauchy problems for laplace's equation
21. Boundary behavior of conformal maps
22. Analyse réelle et complexe
23. An effective non linear boundary condition for corroding surface. Identification of the damage based on steady state electric data