{"id":"https://openalex.org/W4301445738","doi":"https://doi.org/10.3233/asy-141244","title":"Inverse scattering at high energies for the multidimensional Newton equation in a long range potential","display_name":"Inverse scattering at high energies for the multidimensional Newton equation in a long range potential","publication_year":2014,"publication_date":"2014-10-01","ids":{"openalex":"https://openalex.org/W4301445738","doi":"https://doi.org/10.3233/asy-141244"},"language":"en","primary_location":{"id":"doi:10.3233/asy-141244","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-141244","pdf_url":null,"source":{"id":"https://openalex.org/S141283892","display_name":"Asymptotic Analysis","issn_l":"0921-7134","issn":["0921-7134","1875-8576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asymptotic Analysis","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5034590869","display_name":"Alexandre Jollivet","orcid":"https://orcid.org/0000-0001-8646-4444"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I2279609970","display_name":"Universit\u00e9 de Lille","ror":"https://ror.org/02kzqn938","country_code":"FR","type":"education","lineage":["https://openalex.org/I2279609970"]},{"id":"https://openalex.org/I4210145948","display_name":"Laboratoire Paul Painlev\u00e9","ror":"https://ror.org/043n4fm24","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I2279609970","https://openalex.org/I4210141950","https://openalex.org/I4210145948"]},{"id":"https://openalex.org/I4210155549","display_name":"Laboratoire de Math\u00e9matiques Blaise Pascal","ror":"https://ror.org/05sd5r855","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I198244214","https://openalex.org/I4210141950","https://openalex.org/I4210155549"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Alexandre Jollivet","raw_affiliation_strings":["Laboratoire de Math\u00e9matiques Paul Painlev\u00e9, CNRS UMR 8524/Universit\u00e9 Lille 1 Sciences et Technologies, 59655 Villeneuve d'Ascq cedex, France. E-mail: alexandre.jollivet@math.univ-lille1.fr"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques Paul Painlev\u00e9, CNRS UMR 8524/Universit\u00e9 Lille 1 Sciences et Technologies, 59655 Villeneuve d'Ascq cedex, France. E-mail: alexandre.jollivet@math.univ-lille1.fr","institution_ids":["https://openalex.org/I4210145948","https://openalex.org/I4210155549","https://openalex.org/I2279609970","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5034590869"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I2279609970","https://openalex.org/I4210145948","https://openalex.org/I4210155549"],"apc_list":null,"apc_paid":null,"fwci":1.7919,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.84493644,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"90","issue":"1-2","first_page":"105","last_page":"132"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.6330877542495728},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.6257970333099365},{"id":"https://openalex.org/keywords/scattering","display_name":"Scattering","score":0.5544195771217346},{"id":"https://openalex.org/keywords/inverse-scattering-transform","display_name":"Inverse scattering transform","score":0.5158695578575134},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.49313467741012573},{"id":"https://openalex.org/keywords/inverse-scattering-problem","display_name":"Inverse scattering problem","score":0.48126929998397827},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.44608017802238464},{"id":"https://openalex.org/keywords/computational-physics","display_name":"Computational physics","score":0.34314095973968506},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2893446385860443},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.16880986094474792},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12409549951553345},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.1236487627029419}],"concepts":[{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.6330877542495728},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.6257970333099365},{"id":"https://openalex.org/C191486275","wikidata":"https://www.wikidata.org/wiki/Q210028","display_name":"Scattering","level":2,"score":0.5544195771217346},{"id":"https://openalex.org/C136628613","wikidata":"https://www.wikidata.org/wiki/Q17098188","display_name":"Inverse scattering transform","level":4,"score":0.5158695578575134},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.49313467741012573},{"id":"https://openalex.org/C174558057","wikidata":"https://www.wikidata.org/wiki/Q11639409","display_name":"Inverse scattering problem","level":3,"score":0.48126929998397827},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.44608017802238464},{"id":"https://openalex.org/C30475298","wikidata":"https://www.wikidata.org/wiki/Q909554","display_name":"Computational physics","level":1,"score":0.34314095973968506},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2893446385860443},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.16880986094474792},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12409549951553345},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.1236487627029419},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/asy-141244","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-141244","pdf_url":null,"source":{"id":"https://openalex.org/S141283892","display_name":"Asymptotic Analysis","issn_l":"0921-7134","issn":["0921-7134","1875-8576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asymptotic Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.7400000095367432}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2994306356","https://openalex.org/W2120820547","https://openalex.org/W4388295276","https://openalex.org/W2790147798","https://openalex.org/W143225781","https://openalex.org/W2061021399","https://openalex.org/W3105128049","https://openalex.org/W2269313447","https://openalex.org/W2076203425","https://openalex.org/W2468887638"],"abstract_inverted_index":{"We":[0,27,83],"define":[1],"scattering":[2,32,35,44,78,90,96,109],"data":[3,36,45,79,91],"for":[4,24],"the":[5,31,43,51,56,60,63,68,77,86,89,107],"Newton":[6],"equation":[7],"in":[8,40,97],"a":[9],"potential":[10,57],"V\u2208C":[11],"2":[12],"(R":[13],"n":[14],",R),":[15],"n\u22652,":[16],"that":[17,42],"decays":[18],"at":[19,46,73],"infinity":[20],"like":[21],"r":[22],"\u2212\u03b1":[23],"some":[25],"\u03b1\u2208(0,1].":[26],"provide":[28],"estimates":[29],"on":[30],"solutions":[33],"and":[34,37,92],"we":[38],"prove,":[39],"particular,":[41],"high":[47],"energies":[48],"uniquely":[49],"determine":[50],"short":[52],"range":[53,65],"part":[54],"of":[55,62,67,76,88,111],"up":[58],"to":[59],"knowledge":[61],"long":[64],"tail":[66],"potential.":[69],"The":[70],"Born":[71],"approximation":[72],"fixed":[74],"energy":[75],"is":[80],"also":[81,94],"considered.":[82],"then":[84],"change":[85],"definition":[87],"consider":[93],"inverse":[95,108],"other":[98],"asymptotic":[99],"regimes.":[100],"These":[101],"results":[102],"were":[103],"obtained":[104],"by":[105],"developing":[106],"approach":[110],"Novikov":[112],"[Ark.":[113],"Mat.":[114],"37":[115],"(1999),":[116],"141\u2013169].":[117]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2014,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
