Inverse scattering on the half-line revisited
| dc.citation.doi | 10.1016/S0034-4877(15)30026-4 | |
| dc.citation.epage | 169 | en_US |
| dc.citation.issn | 0034-4877 | en_US |
| dc.citation.issue | 2 | en_US |
| dc.citation.jtitle | Reports on Mathematical Physics | en_US |
| dc.citation.spage | 159 | en_US |
| dc.citation.volume | 76 | en_US |
| dc.contributor.author | Ramm, Alexander G. | |
| dc.contributor.authoreid | ramm | en_US |
| dc.date.accessioned | 2015-10-23T16:14:47Z | |
| dc.date.available | 2015-10-23T16:14:47Z | |
| dc.date.issued | 2015-10-01 | |
| dc.date.published | 2015 | en_US |
| dc.description.abstract | The inverse scattering problem on the half-line has been studied in the literature in detail. V. Marchenko presented the solution to this problem. In this paper, the invertibility of the steps of the inver-sion procedure is discussed and a new set of necessary and sufficient conditions on the scattering data is given for the scattering data to be generated by a potential q ∈ L1,1. Our proof is new and in con-trast with Marchenko’s proof does not use equations on the negative half-line. | en_US |
| dc.identifier.uri | http://hdl.handle.net/2097/20483 | |
| dc.language.iso | en_US | en_US |
| dc.publisher | Elsevier | en_US |
| dc.relation.uri | https://doi.org/10.1016/S0034-4877(15)30026-4 | en_US |
| dc.rights | http://rightsstatements.org/vocab/InC/1.0/ | en_US |
| dc.rights | This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s). | |
| dc.subject | Inverse Scattering | en_US |
| dc.subject | Riemann problem | en_US |
| dc.title | Inverse scattering on the half-line revisited | en_US |
| dc.type | Article (author version) | en_US |
