Spectral Regularization Methods for an Abstract Ill-Posed Elliptic Problem
Joint Authors
Boussetila, Nadjib
Hamida, Salim
Rebbani, Faouzia
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-20
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We study an abstract elliptic Cauchy problem associated with an unbounded self-adjoint positive operator which has a continuous spectrum.
It is well-known that such a problem is severely ill-posed; that is, the solution does not depend continuously on the Cauchy data.
We propose two spectral regularization methods to construct an approximate stable solution to our original problem.
Finally, some other convergence results including some explicit convergence rates are also established under a priori bound assumptions on the exact solution.
American Psychological Association (APA)
Boussetila, Nadjib& Hamida, Salim& Rebbani, Faouzia. 2013. Spectral Regularization Methods for an Abstract Ill-Posed Elliptic Problem. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-510469
Modern Language Association (MLA)
Boussetila, Nadjib…[et al.]. Spectral Regularization Methods for an Abstract Ill-Posed Elliptic Problem. Abstract and Applied Analysis No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-510469
American Medical Association (AMA)
Boussetila, Nadjib& Hamida, Salim& Rebbani, Faouzia. Spectral Regularization Methods for an Abstract Ill-Posed Elliptic Problem. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-510469
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-510469