{"id":"https://openalex.org/W4388226631","doi":"https://doi.org/10.1137/22m1470682","title":"Pseudomodes for Biharmonic Operators with Complex Potentials","display_name":"Pseudomodes for Biharmonic Operators with Complex Potentials","publication_year":2023,"publication_date":"2023-11-02","ids":{"openalex":"https://openalex.org/W4388226631","doi":"https://doi.org/10.1137/22m1470682"},"language":"en","primary_location":{"id":"doi:10.1137/22m1470682","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1470682","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"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 Mathematical 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/A5086277073","display_name":"Tho Nguyen Duc","orcid":"https://orcid.org/0000-0002-8823-3153"},"institutions":[{"id":"https://openalex.org/I44504214","display_name":"Czech Technical University in Prague","ror":"https://ror.org/03kqpb082","country_code":"CZ","type":"education","lineage":["https://openalex.org/I44504214"]}],"countries":["CZ"],"is_corresponding":true,"raw_author_name":"Tho Nguyen Duc","raw_affiliation_strings":["Department of Mathematics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Trojanova 13, 12000, Prague 2, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Trojanova 13, 12000, Prague 2, Czech Republic","institution_ids":["https://openalex.org/I44504214"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5086277073"],"corresponding_institution_ids":["https://openalex.org/I44504214"],"apc_list":null,"apc_paid":null,"fwci":0.8321,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.72149723,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":"55","issue":"6","first_page":"6580","last_page":"6624"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11262","display_name":"Quantum Mechanics and Non-Hermitian Physics","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11262","display_name":"Quantum Mechanics and Non-Hermitian Physics","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.9997000098228455,"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":0.9991999864578247,"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/biharmonic-equation","display_name":"Biharmonic equation","score":0.9548419713973999},{"id":"https://openalex.org/keywords/semiclassical-physics","display_name":"Semiclassical physics","score":0.8042194843292236},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7614047527313232},{"id":"https://openalex.org/keywords/wkb-approximation","display_name":"WKB approximation","score":0.6984146237373352},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6046061515808105},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.5734348893165588},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.540481686592102},{"id":"https://openalex.org/keywords/infinity","display_name":"Infinity","score":0.5163789987564087},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.4973790943622589},{"id":"https://openalex.org/keywords/cover","display_name":"Cover (algebra)","score":0.4691060185432434},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4682560861110687},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3823889493942261},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10714781284332275},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.10698151588439941},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10182219743728638},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07813772559165955}],"concepts":[{"id":"https://openalex.org/C145784156","wikidata":"https://www.wikidata.org/wiki/Q859808","display_name":"Biharmonic equation","level":3,"score":0.9548419713973999},{"id":"https://openalex.org/C535169671","wikidata":"https://www.wikidata.org/wiki/Q17080006","display_name":"Semiclassical physics","level":3,"score":0.8042194843292236},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7614047527313232},{"id":"https://openalex.org/C88030215","wikidata":"https://www.wikidata.org/wiki/Q907306","display_name":"WKB approximation","level":2,"score":0.6984146237373352},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6046061515808105},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.5734348893165588},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.540481686592102},{"id":"https://openalex.org/C7321624","wikidata":"https://www.wikidata.org/wiki/Q205","display_name":"Infinity","level":2,"score":0.5163789987564087},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.4973790943622589},{"id":"https://openalex.org/C2780428219","wikidata":"https://www.wikidata.org/wiki/Q16952335","display_name":"Cover (algebra)","level":2,"score":0.4691060185432434},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4682560861110687},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3823889493942261},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10714781284332275},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.10698151588439941},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10182219743728638},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07813772559165955},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.0},{"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/22m1470682","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1470682","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"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 Mathematical Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.4399999976158142,"id":"https://metadata.un.org/sdg/11"}],"awards":[{"id":"https://openalex.org/G3881409154","display_name":null,"funder_award_id":"20-17749X","funder_id":"https://openalex.org/F4320321006","funder_display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky"}],"funders":[{"id":"https://openalex.org/F4320321006","display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky","ror":"https://ror.org/01pv73b02"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W149522324","https://openalex.org/W166129609","https://openalex.org/W1824815610","https://openalex.org/W1968760353","https://openalex.org/W2002692170","https://openalex.org/W2053274256","https://openalex.org/W2077798910","https://openalex.org/W2094512116","https://openalex.org/W2252551059","https://openalex.org/W2755856548","https://openalex.org/W2810897159","https://openalex.org/W2962740582","https://openalex.org/W2962828795","https://openalex.org/W2962950246","https://openalex.org/W2963257476","https://openalex.org/W2964347005","https://openalex.org/W3007771735","https://openalex.org/W3013035964","https://openalex.org/W3023537309","https://openalex.org/W3081137009","https://openalex.org/W3099625330","https://openalex.org/W3100253416","https://openalex.org/W3101271975","https://openalex.org/W3102999093","https://openalex.org/W3148986689","https://openalex.org/W3158728684","https://openalex.org/W4213081051","https://openalex.org/W4319864424"],"related_works":["https://openalex.org/W2503543076","https://openalex.org/W2150088962","https://openalex.org/W2738351852","https://openalex.org/W1131942522","https://openalex.org/W2072682146","https://openalex.org/W2012705898","https://openalex.org/W2039380802","https://openalex.org/W2047050241","https://openalex.org/W2000183848","https://openalex.org/W3122951318"],"abstract_inverted_index":{".This":[0],"article":[1],"is":[2,33,47],"devoted":[3],"to":[4,64],"the":[5,17,23,42],"construction":[6],"of":[7,9,25,58],"pseudomodes":[8],"one-dimensional":[10],"biharmonic":[11],"operators":[12],"with":[13],"complex-valued":[14],"potentials":[15],"via":[16],"WKB":[18],"method.":[19],"As":[20],"a":[21,34,48,55],"by-product,":[22],"shape":[24],"pseudospectrum":[26],"near":[27],"infinity":[28],"can":[29,53],"be":[30],"described.":[31],"This":[32,51],"newly":[35],"discovered":[36],"systematic":[37],"method":[38],"that":[39],"goes":[40],"beyond":[41],"standard":[43],"semiclassical":[44],"setting":[45],"which":[46],"direct":[49],"consequence.":[50],"approach":[52],"cover":[54],"wide":[56],"class":[57],"previously":[59],"inaccessible":[60],"potentials,":[61],"from":[62],"logarithmic":[63],"superexponential":[65],"ones.Keywordspseudospectrumbiharmonic":[66],"operatorscomplex":[67],"potentialMSC":[68],"codes34E2034L4035P2047A1081Q1281Q20":[69]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}