{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/116093"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/116093","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"High frequency bound states in nonlinear Schr¨odinger equations","abstract":"Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2024-08-01","abstract_html":"Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2024-08-01","abstract_has_math":false,"creators":["Sadoveanu, Vlad"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Mathematics","degree_department":null,"school":null,"contributors":["Kirr, Eduard-Wilhelm","Laugesen, Richard S","Tzirakis, Nikolaos","Zharnitski, Vadim"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2022,"date_issued":"2022-08","date_published":"2022-08","updated_at":"2026-07-22T22:24:55Z","subjects":["NLS","bound states"],"languages":["en","eng"],"rights":["Copyright 2022 Vlad Sadoveanu"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://hdl.handle.net/2142/116093","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Kirr, Eduard-Wilhelm","Laugesen, Richard S","Tzirakis, Nikolaos","Zharnitski, Vadim"]},{"key":"dc:creator","label":"Author","values":["Sadoveanu, Vlad"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2022-08","2022-07-12"]},{"key":"dc:type","label":"Dc Type","values":["text","Thesis"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Mathematics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["NLS","bound states"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en","eng"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 2022 Vlad Sadoveanu"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://hdl.handle.net/2142/116093"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2024-08-01","The student, Vlad Sadoveanu, accepted the attached license on 2022-07-12 at 11:13.","The student, Vlad Sadoveanu, submitted this Dissertation for approval on 2022-07-12 at 12:23.","This Dissertation was approved for publication on 2022-07-12 at 17:30.","DSpace SAF Submission Ingestion Package generated from Vireo submission #18253 on 2022-11-15 at 21:40:03","Nonlinear Schr¨odinger Equations (NLS) play an important part in modelling various phenomena in scientific fields such as quantum mechanics, optics or statistical physics. This thesis is an effort to describe the high frequency bound states in NLS with external potential and generic nonlinear term, mainly characterized by its asymptotic behavior near infinity. In particular, we answer questions about the existence and uniqueness of these high frequency bound states, their shape, decay properties and behavior of relevant norms."]},{"key":"dc:format","label":"Dc Format","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["High frequency bound states in nonlinear Schr¨odinger equations"]}]}],"canonical_facts":{"dc:contributor":["Kirr, Eduard-Wilhelm","Laugesen, Richard S","Tzirakis, Nikolaos","Zharnitski, Vadim"],"dc:creator":["Sadoveanu, Vlad"],"dc:date":["2022-08","2022-07-12"],"dc:description":["Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2024-08-01","The student, Vlad Sadoveanu, accepted the attached license on 2022-07-12 at 11:13.","The student, Vlad Sadoveanu, submitted this Dissertation for approval on 2022-07-12 at 12:23.","This Dissertation was approved for publication on 2022-07-12 at 17:30.","DSpace SAF Submission Ingestion Package generated from Vireo submission #18253 on 2022-11-15 at 21:40:03","Nonlinear Schr¨odinger Equations (NLS) play an important part in modelling various phenomena in scientific fields such as quantum mechanics, optics or statistical physics. This thesis is an effort to describe the high frequency bound states in NLS with external potential and generic nonlinear term, mainly characterized by its asymptotic behavior near infinity. In particular, we answer questions about the existence and uniqueness of these high frequency bound states, their shape, decay properties and behavior of relevant norms."],"dc:format":["application/pdf"],"dc:identifier":["https://hdl.handle.net/2142/116093"],"dc:language":["en","eng"],"dc:rights":["Copyright 2022 Vlad Sadoveanu"],"dc:subject":["NLS","bound states"],"dc:title":["High frequency bound states in nonlinear Schr¨odinger equations"],"dc:type":["text","Thesis"],"thesis:degree_discipline":["Mathematics"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:24:55Z"}