2025-02-23T13:20:19-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: Query fl=%2A&wt=json&json.nl=arrarr&q=id%3A%22irk-123456789-118023%22&qt=morelikethis&rows=5
2025-02-23T13:20:19-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: => GET http://localhost:8983/solr/biblio/select?fl=%2A&wt=json&json.nl=arrarr&q=id%3A%22irk-123456789-118023%22&qt=morelikethis&rows=5
2025-02-23T13:20:19-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: <= 200 OK
2025-02-23T13:20:19-05:00 DEBUG: Deserialized SOLR response
Inverse Scattering Theory for Schrödinger Operators with Steplike Potentials

Inverse Scattering Theory for Schrödinger Operators with Steplike Potentials

We study the direct and inverse scattering problem for the one-dimensional Schrödinger equation with steplike potentials. We give necessary and sufficient conditions for the scattering data to correspond to a potential with prescribed smoothness and prescribed decay to its asymptotics. Our results g...

Full description

Saved in:
Bibliographic Details
Main Authors: Egorova, I., Gladka, Z., Lange, T.L., Teschl, G.
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2015
Series:Журнал математической физики, анализа, геометрии
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/118023
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We study the direct and inverse scattering problem for the one-dimensional Schrödinger equation with steplike potentials. We give necessary and sufficient conditions for the scattering data to correspond to a potential with prescribed smoothness and prescribed decay to its asymptotics. Our results generalize all previous known results and are important for solving the Korteweg-de Vries equation via the inverse scattering transform.

Similar Items