Energy- and Regularity-Dependent Stability Estimates for Near-Field Inverse Scattering in Multidimensions
We prove new global Hölder-logarithmic stability estimates for the near-field inverse scattering problem in dimension d≥3. Our estimates are given in uniform norm for coefficient difference and related stability efficiently increases with increasing energy and/or coefficient regularity. In additio...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/318154 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849304954175488000 |
|---|---|
| author | M. I. Isaev |
| author_facet | M. I. Isaev |
| author_sort | M. I. Isaev |
| collection | DOAJ |
| description | We prove new global Hölder-logarithmic stability estimates for the near-field inverse scattering problem in dimension d≥3. Our estimates are given in uniform norm for coefficient difference and related stability efficiently increases with increasing energy and/or coefficient regularity. In addition, a global logarithmic stability estimate for this inverse problem in dimension d=2 is also given. |
| format | Article |
| id | doaj-art-3b5dba0d0b104442bbfe37a22cc2e796 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-3b5dba0d0b104442bbfe37a22cc2e7962025-08-20T03:55:36ZengWileyJournal of Mathematics2314-46292314-47852013-01-01201310.1155/2013/318154318154Energy- and Regularity-Dependent Stability Estimates for Near-Field Inverse Scattering in MultidimensionsM. I. Isaev0Centre de Mathématiques Appliquées, Ecole Polytechnique, 91128 Palaiseau, FranceWe prove new global Hölder-logarithmic stability estimates for the near-field inverse scattering problem in dimension d≥3. Our estimates are given in uniform norm for coefficient difference and related stability efficiently increases with increasing energy and/or coefficient regularity. In addition, a global logarithmic stability estimate for this inverse problem in dimension d=2 is also given.http://dx.doi.org/10.1155/2013/318154 |
| spellingShingle | M. I. Isaev Energy- and Regularity-Dependent Stability Estimates for Near-Field Inverse Scattering in Multidimensions Journal of Mathematics |
| title | Energy- and Regularity-Dependent Stability Estimates for Near-Field Inverse Scattering in Multidimensions |
| title_full | Energy- and Regularity-Dependent Stability Estimates for Near-Field Inverse Scattering in Multidimensions |
| title_fullStr | Energy- and Regularity-Dependent Stability Estimates for Near-Field Inverse Scattering in Multidimensions |
| title_full_unstemmed | Energy- and Regularity-Dependent Stability Estimates for Near-Field Inverse Scattering in Multidimensions |
| title_short | Energy- and Regularity-Dependent Stability Estimates for Near-Field Inverse Scattering in Multidimensions |
| title_sort | energy and regularity dependent stability estimates for near field inverse scattering in multidimensions |
| url | http://dx.doi.org/10.1155/2013/318154 |
| work_keys_str_mv | AT miisaev energyandregularitydependentstabilityestimatesfornearfieldinversescatteringinmultidimensions |