Loading…
Exponential instability in an inverse problem for the Schrodinger equation
We consider the problem of the determination of the potential from the Dirichlet to Neumann map of the Schrodinger operator.We show that this problem is severely ill posed. The results extend to the electrical impedance tomography.They show that the logarithmic stability results of Alessandrini are...
Saved in:
| Main Author: | |
|---|---|
| Format: | Default Preprint |
| Published: |
2001
|
| Subjects: | |
| Online Access: | https://hdl.handle.net/2134/680 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1805994805440806912 |
|---|---|
| author | N. Mandache |
| author_facet | N. Mandache |
| author_sort | N. Mandache (7160174) |
| collection | Figshare |
| description | We consider the problem of the determination of the potential from the Dirichlet to Neumann map of the Schrodinger operator.We show that this problem is severely ill posed. The results extend to the electrical impedance tomography.They show that the logarithmic stability results of Alessandrini are optimal. |
| format | Default Preprint |
| id | rr-article-9384326 |
| institution | Loughborough University |
| publishDate | 2001 |
| record_format | Figshare |
| spelling | rr-article-93843262001-01-01T00:00:00Z Exponential instability in an inverse problem for the Schrodinger equation N. Mandache (7160174) Other mathematical sciences not elsewhere classified untagged Mathematical Sciences not elsewhere classified We consider the problem of the determination of the potential from the Dirichlet to Neumann map of the Schrodinger operator.We show that this problem is severely ill posed. The results extend to the electrical impedance tomography.They show that the logarithmic stability results of Alessandrini are optimal. 2001-01-01T00:00:00Z Text Preprint 2134/680 https://figshare.com/articles/preprint/Exponential_instability_in_an_inverse_problem_for_the_Schrodinger_equation/9384326 CC BY-NC-ND 4.0 |
| spellingShingle | Other mathematical sciences not elsewhere classified untagged Mathematical Sciences not elsewhere classified N. Mandache Exponential instability in an inverse problem for the Schrodinger equation |
| title | Exponential instability in an inverse problem for the Schrodinger equation |
| title_full | Exponential instability in an inverse problem for the Schrodinger equation |
| title_fullStr | Exponential instability in an inverse problem for the Schrodinger equation |
| title_full_unstemmed | Exponential instability in an inverse problem for the Schrodinger equation |
| title_short | Exponential instability in an inverse problem for the Schrodinger equation |
| title_sort | exponential instability in an inverse problem for the schrodinger equation |
| topic | Other mathematical sciences not elsewhere classified untagged Mathematical Sciences not elsewhere classified |
| url | https://hdl.handle.net/2134/680 |