Logarithmic regularization of non-autonomous non-linear ill-posed problems in Hilbert spaces
| dc.contributor.author | Fury, Matthew | |
| dc.date.accessioned | 2022-01-03T19:10:50Z | |
| dc.date.available | 2022-01-03T19:10:50Z | |
| dc.date.issued | 2018-01-19 | |
| dc.description.abstract | The regularization of non-autonomous non-linear ill-posed problems is established using a logarithmic approximation originally proposed by Boussetila and Rebbani, and later modified by Tuan and Trong. We first prove continuous dependence on modeling where the solution of the original ill-posed problem is estimated by the solution of an approximate well-posed problem. Finally, we illustrate the convergence via numerical experiments in L2 spaces. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 11 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Fury, M. (2018). Logarithmic regularization of non-autonomous non-linear ill-posed problems in Hilbert spaces. <i>Electronic Journal of Differential Equations, 2018</i>(28), pp. 1-11. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15084 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2018, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Non-linear ill-posed problem | |
| dc.subject | Backward heat equation | |
| dc.subject | Non-autonomous problem | |
| dc.subject | Semigroup of linear operators | |
| dc.subject | Regularization | |
| dc.title | Logarithmic regularization of non-autonomous non-linear ill-posed problems in Hilbert spaces | |
| dc.type | Article |