{"id":10214,"date":"2023-10-18T12:01:14","date_gmt":"2023-10-18T10:01:14","guid":{"rendered":"https:\/\/www.dm.unipi.it\/?post_type=unipievents&#038;p=10214"},"modified":"2023-11-08T11:42:02","modified_gmt":"2023-11-08T10:42:02","slug":"on-the-non-linear-schrodinger-equation-with-a-point-interaction","status":"publish","type":"unipievents","link":"https:\/\/www.dm.unipi.it\/en\/eventi\/on-the-non-linear-schrodinger-equation-with-a-point-interaction\/","title":{"rendered":"On the non-linear Schr\u00f6dinger equation with a point interaction &ndash; Raffaele Scandone (Universit\u00e0 degli Studi di Napoli Federico II)"},"content":{"rendered":"\n<p>In this talk I will discuss the Schr\u00f6dinger operators with point interaction, which model the dynamics of a quantum particle interacting with a spatial defect. After introducing the adapted Sobolev spaces and the dispersive properties of the associated unitary evolution, I will consider the corresponding non-linear Schr\u00f6dinger equation. Some recent results on the local and global well-posedness and the existence of standing waves solutions will be provided<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In this talk I will discuss the Schr\u00f6dinger operators with point interaction, which model the dynamics of a quantum particle&hellip;<\/p>\n<p><a class=\"btn btn-dark btn-sm unipi-read-more-link\" href=\"https:\/\/www.dm.unipi.it\/en\/eventi\/on-the-non-linear-schrodinger-equation-with-a-point-interaction\/\">Read More&#8230;<\/a><\/p>\n","protected":false},"author":15,"featured_media":0,"template":"","tags":[],"unipievents_taxonomy":[],"class_list":["post-10214","unipievents","type-unipievents","status-publish","hentry"],"acf":[],"unipievents_startdate":1699529400,"unipievents_enddate":1699533000,"unipievents_place":"Aula Seminari","unipievents_externalid":0,"jetpack_sharing_enabled":true,"publishpress_future_workflow_manual_trigger":{"enabledWorkflows":[]},"_links":{"self":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/10214","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents"}],"about":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/types\/unipievents"}],"author":[{"embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/users\/15"}],"version-history":[{"count":4,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/10214\/revisions"}],"predecessor-version":[{"id":10511,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/10214\/revisions\/10511"}],"wp:attachment":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/media?parent=10214"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/tags?post=10214"},{"taxonomy":"unipievents_taxonomy","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents_taxonomy?post=10214"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}