Solving elliptic Cauchy problems and the identification of nonlinear corrosion
| dc.creator | Alessandrini, Giovanni | |
| dc.creator | Sincich, Eva | |
| dc.date | 2004-11-22 | |
| dc.date.accessioned | 2026-07-07T05:14:34Z | |
| dc.date.available | 2026-07-07T05:14:34Z | |
| dc.description | We deal with an inverse problem arising in corrosion detection. The presence of corrosion damage is modeled by a nonlinear boundary condition on the inaccessible portion of the metal specimen. We propose a method for the approximate reconstruction of such a nonlinearity. A crucial step of this procedure, which encapsulates the major cause of the ill-posedness of the problem, consists of the solution of a Cauchy problem for an elliptic equation. For this purpose we propose an SVD approach. | |
| dc.description | 17 pages | |
| dc.identifier | https://arxiv.org/abs/math/0411481 | |
| dc.identifier | http://arxiv.org/abs/math/0411481 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73320 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35R30; 35R25; 31B20 | |
| dc.title | Solving elliptic Cauchy problems and the identification of nonlinear corrosion | |
| dc.type | text |