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Lipschitz stability estimates for translations and balls in inverse scattering
| Content Provider | Scilit |
|---|---|
| Author | Kwon, Ohin Seo, Jin Keun |
| Copyright Year | 2000 |
| Description | Journal: Inverse Problems We consider the inverse scattering problem for the Helmholtz equation determining the unknown sound-soft obstacle for a fixed wavenumber k >0. The far-field pattern for the translation of a connected bounded obstacle is represented for the one fixed reference obstacle. Using this representation, we establish Lipschitz stability of the recovery of the translated location from knowledge of the far-field pattern for one incident plane wave. Lipschitz stability estimates for balls in$ ^{3}$ are also obtained from two incident plane waves and far-field patterns. |
| Related Links | http://iopscience.iop.org/article/10.1088/0266-5611/16/2/302/pdf |
| Ending Page | 301 |
| Page Count | 9 |
| Starting Page | 293 |
| ISSN | 02665611 |
| e-ISSN | 13616420 |
| DOI | 10.1088/0266-5611/16/2/302 |
| Journal | Inverse Problems |
| Issue Number | 2 |
| Volume Number | 16 |
| Language | English |
| Publisher | IOP Publishing |
| Publisher Date | 2000-03-10 |
| Access Restriction | Open |
| Subject Keyword | Journal: Inverse Problems Helmholtz Equation Plane Waves Inverse Scattering Inverse Scattering Problem |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Theoretical Computer Science Signal Processing Mathematical Physics Computer Science Applications |
