{"id":"https://openalex.org/W2047377882","doi":"https://doi.org/10.1137/100791798","title":"The Limiting Absorption Principle for a Periodic Semi-Infinite Waveguide","display_name":"The Limiting Absorption Principle for a Periodic Semi-Infinite Waveguide","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W2047377882","doi":"https://doi.org/10.1137/100791798","mag":"2047377882"},"language":"en","primary_location":{"id":"doi:10.1137/100791798","is_oa":false,"landing_page_url":"https://doi.org/10.1137/100791798","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","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/A5101645798","display_name":"Vu Hoang","orcid":"https://orcid.org/0000-0003-3246-7548"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Vu Hoang","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5101645798"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.6277,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.68854155,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"71","issue":"3","first_page":"791","last_page":"810"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9986000061035156,"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":0.9986000061035156,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9979000091552734,"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9962000250816345,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.6641839146614075},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6178033947944641},{"id":"https://openalex.org/keywords/waveguide","display_name":"Waveguide","score":0.6060424447059631},{"id":"https://openalex.org/keywords/limiting","display_name":"Limiting","score":0.5904061198234558},{"id":"https://openalex.org/keywords/absorption","display_name":"Absorption (acoustics)","score":0.5779571533203125},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5670201778411865},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5667406320571899},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5552402138710022},{"id":"https://openalex.org/keywords/elliptic-operator","display_name":"Elliptic operator","score":0.5551295280456543},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.49462172389030457},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.4477861821651459},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2921657860279083},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.2151401937007904},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09417787194252014}],"concepts":[{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6641839146614075},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6178033947944641},{"id":"https://openalex.org/C200687136","wikidata":"https://www.wikidata.org/wiki/Q11233438","display_name":"Waveguide","level":2,"score":0.6060424447059631},{"id":"https://openalex.org/C188198153","wikidata":"https://www.wikidata.org/wiki/Q1613840","display_name":"Limiting","level":2,"score":0.5904061198234558},{"id":"https://openalex.org/C125287762","wikidata":"https://www.wikidata.org/wiki/Q1758948","display_name":"Absorption (acoustics)","level":2,"score":0.5779571533203125},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5670201778411865},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5667406320571899},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5552402138710022},{"id":"https://openalex.org/C70610323","wikidata":"https://www.wikidata.org/wiki/Q427625","display_name":"Elliptic operator","level":2,"score":0.5551295280456543},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.49462172389030457},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.4477861821651459},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2921657860279083},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.2151401937007904},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09417787194252014},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/100791798","is_oa":false,"landing_page_url":"https://doi.org/10.1137/100791798","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1507437630","https://openalex.org/W1974727088","https://openalex.org/W2014961534","https://openalex.org/W2042733837","https://openalex.org/W2051465055","https://openalex.org/W2064699000","https://openalex.org/W2074865746","https://openalex.org/W4405648413"],"related_works":["https://openalex.org/W4243145179","https://openalex.org/W4255875982","https://openalex.org/W4244853958","https://openalex.org/W2029404707","https://openalex.org/W4285325679","https://openalex.org/W4247719608","https://openalex.org/W4237439661","https://openalex.org/W1928239295","https://openalex.org/W4242981732","https://openalex.org/W4232927149"],"abstract_inverted_index":{"We":[0],"study":[1],"an":[2],"elliptic":[3],"boundary":[4],"value":[5],"problem":[6,70],"in":[7,24,79],"a":[8,13,25,64],"semi-infinite,":[9],"straight":[10],"waveguide":[11],"containing":[12],"periodic":[14,32],"material":[15],"distribution.":[16],"The":[17],"spectral":[18,26],"parameter":[19],"is":[20,43],"taken":[21],"to":[22,36,47,57,67],"lie":[23],"band":[27],"of":[28,52],"the":[29,37,49,53,59,69,75],"corresponding":[30],"full-space":[31],"operator.":[33],"In":[34,55],"contrast":[35],"situation":[38],"with":[39],"constant":[40],"coefficients,":[41],"it":[42],"not":[44],"obvious":[45],"how":[46],"define":[48,58],"\u201coutgoing\u201d":[50],"solution":[51],"problem.":[54],"order":[56],"outgoing":[60],"solution,":[61],"we":[62],"introduce":[63],"small":[65],"absorption":[66],"regularize":[68],"and":[71],"then":[72],"prove":[73],"that":[74],"solutions":[76],"converge":[77],"locally":[78],"$H^1$.":[80]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
