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Recovery of singularities from a backscattering Born approximation for a biharmonic operator in 3D |
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| Author: | Tyni, Teemu1 |
| Organizations: |
1Department of Mathematical Sciences, University of Oulu, Finland |
| Format: | article |
| Version: | accepted version |
| Access: | open |
| Online Access: | PDF Full Text (PDF, 0.3 MB) |
| Persistent link: | http://urn.fi/urn:nbn:fi-fe2019040311028 |
| Language: | English |
| Published: |
IOP Publishing,
2018
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| Publish Date: | 2019-04-03 |
| Description: |
AbstractWe consider a backscattering Born approximation for a perturbed biharmonic operator in three space dimensions. Previous results on this approach for biharmonic operator use the fact that the coefficients are real-valued to obtain the reconstruction of singularities in the coefficients. In this text we drop the assumption about real-valued coefficients and also establish the recovery of singularities for complex coefficients. The proof uses mapping properties of the Radon transform. see all
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| Series: |
Inverse problems |
| ISSN: | 0266-5611 |
| ISSN-E: | 1361-6420 |
| ISSN-L: | 0266-5611 |
| Volume: | 34 |
| Issue: | 4 |
| Article number: | 045007 |
| DOI: | 10.1088/1361-6420/aaaf7f |
| OADOI: | https://oadoi.org/10.1088/1361-6420/aaaf7f |
| Type of Publication: |
A1 Journal article – refereed |
| Field of Science: |
111 Mathematics |
| Subjects: | |
| Funding: |
The author was supported by the Doctoral Programme of Exact Sciences at the University of Oulu, Finland and by the Academy of Finland (application number 250215, Finnish Programme for Centres of Excellence in Research 2012–2017). |
| Academy of Finland Grant Number: |
250215 |
| Detailed Information: |
250215 (Academy of Finland Funding decision) |
| Copyright information: |
© 2018 IOP Publishing Ltd. This is a peer-reviewed, un-copyedited version of an article accepted for publication/published in Inverse Problems. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at https://doi.org/10.1088/1361-6420/aaaf7f |