Single logarithmic conditional stability in determining unknown boundaries
| dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
| dc.bibliographicCitation.volume | 2351 | |
| dc.contributor.author | Elschner, Johannes | |
| dc.contributor.author | Hu, Guanghui | |
| dc.contributor.author | Yamamoto, Masahiro | |
| dc.date.accessioned | 2017-03-29T23:50:34Z | |
| dc.date.available | 2019-06-28T08:05:11Z | |
| dc.date.issued | 2016 | |
| dc.description.abstract | We prove a conditional stability estimate of log-type for determining unknown boundaries from a single Cauchy data taken on an accessible subboundary. Our approach relies on new interior and boundary estimates derived from the Carleman estimate for elliptic equations. A local stability result for target identification of an acoustic sound-soft scatterer from a single far-field pattern is also obtained. | eng |
| dc.description.version | publishedVersion | eng |
| dc.format | application/pdf | |
| dc.identifier.issn | 2198-5855 | |
| dc.identifier.uri | https://doi.org/10.34657/3189 | |
| dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/2280 | |
| dc.language.iso | eng | eng |
| dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
| dc.relation.issn | 0946-8633 | eng |
| dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
| dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
| dc.subject.ddc | 510 | eng |
| dc.subject.other | Inverse problems | eng |
| dc.subject.other | stability estimate | eng |
| dc.subject.other | elliptic equations | eng |
| dc.subject.other | Carleman estimate | eng |
| dc.title | Single logarithmic conditional stability in determining unknown boundaries | eng |
| dc.type | Report | eng |
| dc.type | Text | eng |
| tib.accessRights | openAccess | eng |
| wgl.contributor | WIAS | eng |
| wgl.subject | Mathematik | eng |
| wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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