| dc.creator | Ramm, A.G. | |
| dc.date | 2004-03-01 | |
| dc.date.accessioned | 2019-05-03T12:36:51Z | |
| dc.date.available | 2019-05-03T12:36:51Z | |
| dc.identifier | http://revistas.ufro.cl/ojs/index.php/cubo/article/view/1659 | |
| dc.identifier.uri | http://revistaschilenas.uchile.cl/handle/2250/84384 | |
| dc.description | Inverse scattering and spectral one-dimensional problems are discussed systematically in a self-contained way. Many novel results due to the author are presented. The classical results are often presented in a new way. Several highlights of the new results include:
1) Analisys of the invertibility of the steps in the Gel'fand-Levitan and Marchenko inversion procedures.
2) Theory of the inverse problem with I-function as the data and its applications.
3) Proof of the property C for ordinary differential operators, numerous applications of property C.
4) Inverse problems with "incomplete" data.
5) spherically symmetric inverse scattering problem with fixed-energy data: analysis of the Newton-sabatier (NS) scheme for inversion of fixed-energy phase shifts is given. This analysis shows that the NS scheme is fundamentally wrong, and is not a valid inversion method.
6) Complete presentation of the Krein inverse scattering theory is given. Consistency of this theory is proved.
7) Quarkonium systems.
8) A study of the properties of I-function.
9) Some new inverse problems for the heat and wave equations are studied.
10) A study of inverse scattering problem for an inhomogeneous Schrödinger equation. | en-US |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Universidad de La Frontera. Temuco, Chile. | en-US |
| dc.relation | http://revistas.ufro.cl/ojs/index.php/cubo/article/view/1659/1511 | |
| dc.source | CUBO, A Mathematical Journal; Vol. 6 Núm. 1 (2004): CUBO, A Mathematical Journal; 313–426 | es-ES |
| dc.source | CUBO, A Mathematical Journal; Vol 6 No 1 (2004): CUBO, A Mathematical Journal; 313–426 | en-US |
| dc.source | 0719-0646 | |
| dc.source | 0716-7776 | |
| dc.title | One-dimensional inverse scattering and spectral problems | en-US |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
