{"id":"https://openalex.org/W1635169324","doi":"https://doi.org/10.1023/a:1019121832607","title":"First order spectrum for elliptic system and nonresonance problem","display_name":"First order spectrum for elliptic system and nonresonance problem","publication_year":1999,"publication_date":"1999-09-01","ids":{"openalex":"https://openalex.org/W1635169324","doi":"https://doi.org/10.1023/a:1019121832607","mag":"1635169324"},"language":"en","primary_location":{"id":"doi:10.1023/a:1019121832607","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1019121832607","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","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/A5010876022","display_name":"Aomar Anane","orcid":null},"institutions":[{"id":"https://openalex.org/I3019441195","display_name":"Laboratoire de Math\u00e9matiques d'Orsay","ror":"https://ror.org/03ab0zs98","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I3019441195"]},{"id":"https://openalex.org/I4210108110","display_name":"Mohamed I University","ror":"https://ror.org/01ejxf797","country_code":"MA","type":"education","lineage":["https://openalex.org/I4210108110"]}],"countries":["FR","MA"],"is_corresponding":true,"raw_author_name":"A. Anane","raw_affiliation_strings":["D\u00e9partement de Math\u00e9matiques et Informatique, Facult\u00e9 des Sciences, Universit\u00e9 Mohamed 1, Oujda, Morocco","D\u00e9partement de Math\u00e9matiques et Informatique, Facult\u00e9 des Sciences, Universit\u00e9 Mohamed 1, Oujda, Morocco E-mail:"],"affiliations":[{"raw_affiliation_string":"D\u00e9partement de Math\u00e9matiques et Informatique, Facult\u00e9 des Sciences, Universit\u00e9 Mohamed 1, Oujda, Morocco","institution_ids":["https://openalex.org/I3019441195"]},{"raw_affiliation_string":"D\u00e9partement de Math\u00e9matiques et Informatique, Facult\u00e9 des Sciences, Universit\u00e9 Mohamed 1, Oujda, Morocco E-mail:","institution_ids":["https://openalex.org/I4210108110"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056294196","display_name":"Omar Chakrone","orcid":"https://orcid.org/0000-0002-2208-4220"},"institutions":[{"id":"https://openalex.org/I3019441195","display_name":"Laboratoire de Math\u00e9matiques d'Orsay","ror":"https://ror.org/03ab0zs98","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I3019441195"]},{"id":"https://openalex.org/I4210108110","display_name":"Mohamed I University","ror":"https://ror.org/01ejxf797","country_code":"MA","type":"education","lineage":["https://openalex.org/I4210108110"]}],"countries":["FR","MA"],"is_corresponding":false,"raw_author_name":"O. Chakrone","raw_affiliation_strings":["D\u00e9partement de Math\u00e9matiques et Informatique, Facult\u00e9 des Sciences, Universit\u00e9 Mohamed 1, Oujda, Morocco","D\u00e9partement de Math\u00e9matiques et Informatique, Facult\u00e9 des Sciences, Universit\u00e9 Mohamed 1, Oujda, Morocco E-mail:"],"affiliations":[{"raw_affiliation_string":"D\u00e9partement de Math\u00e9matiques et Informatique, Facult\u00e9 des Sciences, Universit\u00e9 Mohamed 1, Oujda, Morocco","institution_ids":["https://openalex.org/I3019441195"]},{"raw_affiliation_string":"D\u00e9partement de Math\u00e9matiques et Informatique, Facult\u00e9 des Sciences, Universit\u00e9 Mohamed 1, Oujda, Morocco E-mail:","institution_ids":["https://openalex.org/I4210108110"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037552656","display_name":"Zakaria El Allali","orcid":"https://orcid.org/0000-0002-3146-6423"},"institutions":[{"id":"https://openalex.org/I3019441195","display_name":"Laboratoire de Math\u00e9matiques d'Orsay","ror":"https://ror.org/03ab0zs98","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I3019441195"]},{"id":"https://openalex.org/I4210108110","display_name":"Mohamed I University","ror":"https://ror.org/01ejxf797","country_code":"MA","type":"education","lineage":["https://openalex.org/I4210108110"]}],"countries":["FR","MA"],"is_corresponding":false,"raw_author_name":"Z. El Allali","raw_affiliation_strings":["D\u00e9partement de Math\u00e9matiques et Informatique, Facult\u00e9 des Sciences, Universit\u00e9 Mohamed 1, Oujda, Morocco","D\u00e9partement de Math\u00e9matiques et Informatique, Facult\u00e9 des Sciences, Universit\u00e9 Mohamed 1, Oujda, Morocco E-mail:"],"affiliations":[{"raw_affiliation_string":"D\u00e9partement de Math\u00e9matiques et Informatique, Facult\u00e9 des Sciences, Universit\u00e9 Mohamed 1, Oujda, Morocco","institution_ids":["https://openalex.org/I3019441195"]},{"raw_affiliation_string":"D\u00e9partement de Math\u00e9matiques et Informatique, Facult\u00e9 des Sciences, Universit\u00e9 Mohamed 1, Oujda, Morocco E-mail:","institution_ids":["https://openalex.org/I4210108110"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5010876022"],"corresponding_institution_ids":["https://openalex.org/I3019441195","https://openalex.org/I4210108110"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.4871,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.61806683,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"21","issue":"1-4","first_page":"9","last_page":"21"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.7829999923706055,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.7829999923706055,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.7746999859809875,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.7286999821662903,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/mathematics","display_name":"Mathematics","score":0.7777000665664673},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6648740172386169},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5081484317779541},{"id":"https://openalex.org/keywords/spectrum","display_name":"Spectrum (functional analysis)","score":0.446643203496933},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4292644262313843},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.40040338039398193},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3686121106147766},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.09206295013427734},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08400934934616089},{"id":"https://openalex.org/keywords/business","display_name":"Business","score":0.06583243608474731}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7777000665664673},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6648740172386169},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5081484317779541},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.446643203496933},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4292644262313843},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40040338039398193},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3686121106147766},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.09206295013427734},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08400934934616089},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.06583243608474731},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1023/a:1019121832607","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1019121832607","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.47999998927116394,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1968646547","https://openalex.org/W1972639247","https://openalex.org/W1979674657","https://openalex.org/W2033789506","https://openalex.org/W2049318707","https://openalex.org/W2060399598","https://openalex.org/W2091566843","https://openalex.org/W2199404582","https://openalex.org/W4235759721"],"related_works":["https://openalex.org/W4250775169","https://openalex.org/W4309231192","https://openalex.org/W2064563243","https://openalex.org/W3165104833","https://openalex.org/W2012783289","https://openalex.org/W2018678701","https://openalex.org/W2753425608","https://openalex.org/W4249573192","https://openalex.org/W2053800633","https://openalex.org/W1986447712"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}