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Inverse problem for a degenerate/singular parabolic system with Neumann boundary conditions
| Content Provider | Scilit |
|---|---|
| Author | Alaoui, Mohammed Hajjaj, Abdelkarim Maniar, Lahcen Salhi, Jawad |
| Copyright Year | 2020 |
| Abstract | In this paper, we study an inverse source problem for a degenerate and singular parabolic system where the boundary conditions are of Neumann type. We consider a problem with degenerate diffusion coefficients and singular lower-order terms, both vanishing at an interior point of the space domain. In particular, we address the question of well-posedness of the problem, and then we prove a stability estimate of Lipschitz type in determining the source term by data of only one component. Our method is based on Carleman estimates, cut-off procedures and a reflection technique. |
| Related Links | https://www.degruyter.com/downloadpdf/journals/jiip/ahead-of-print/article-10.1515-jiip-2018-0034/article-10.1515-jiip-2018-0034.pdf |
| Ending Page | 821 |
| Page Count | 31 |
| Starting Page | 791 |
| ISSN | 09280219 |
| e-ISSN | 15693945 |
| DOI | 10.1515/jiip-2018-0034 |
| Journal | Journal of Inverse and Ill-Posed Problems |
| Issue Number | 6 |
| Volume Number | 29 |
| Language | English |
| Publisher | Walter de Gruyter GmbH |
| Publisher Date | 2020-11-07 |
| Access Restriction | Open |
| Subject Keyword | Journal of Inverse and Ill-posed Problems Mathematics Inverse Problem Degenerate Parabolic Equations Singular Parabolic Equations Hardy–poincaré Inequalities Carleman Estimates 35r30 35k65 35k67 93b30 Journal: Journal of Inverse and Ill-Posed Problems, Vol- 29 |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics |
