Optimal regularization method for ill-posed Cauchy problems
| dc.contributor.author | Boussetila, Nadjib | |
| dc.contributor.author | Rebbani, Faouzia | |
| dc.date.accessioned | 2021-07-21T15:20:10Z | |
| dc.date.available | 2021-07-21T15:20:10Z | |
| dc.date.issued | 2006-11-27 | |
| dc.description.abstract | The goal of this paper is to give an optimal regularization method for an ill-posed Cauchy problem associated with an unbounded linear operator in a Hilbert space. Key point to our proof is the use of Yosida approximation and nonlocal conditions to construct a family of regularizing operators for the considered problem. We show the convergence of this approach, and we estimate the convergence rate under a priori regularity assumptions on the problem data. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 15 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Boussetila, N., & Rebbani, F. (2006). Optimal regularization method for ill-posed Cauchy problems. <i>Electronic Journal of Differential Equations, 2006</i>(147), pp. 1-15. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14020 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2006, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Ill-posed Cauchy problem | |
| dc.subject | Quasi-reversibility methods | |
| dc.subject | Nonlocal conditions | |
| dc.subject | Regularizing family | |
| dc.title | Optimal regularization method for ill-posed Cauchy problems | |
| dc.type | Article |