{"id":"https://openalex.org/W1698248476","doi":"https://doi.org/10.3233/asy-2012-1091","title":"Long time asymptotic expansions of heat kernels for perturbed Hill operators","display_name":"Long time asymptotic expansions of heat kernels for perturbed Hill operators","publication_year":2012,"publication_date":"2012-09-01","ids":{"openalex":"https://openalex.org/W1698248476","doi":"https://doi.org/10.3233/asy-2012-1091","mag":"1698248476"},"language":"en","primary_location":{"id":"doi:10.3233/asy-2012-1091","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-2012-1091","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/A5006290019","display_name":"Minoru Murata","orcid":"https://orcid.org/0000-0002-0449-2554"},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Minoru Murata","raw_affiliation_strings":["Department of Mathematics, Tokyo Institute of Technology, Oh-okayama, Meguro-ku, Tokyo 152-8551, Japan. E-mail: minoru3@math.titech.ac.jp"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Tokyo Institute of Technology, Oh-okayama, Meguro-ku, Tokyo 152-8551, Japan. E-mail: minoru3@math.titech.ac.jp","institution_ids":["https://openalex.org/I114531698"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028091601","display_name":"Tetsuo Tsuchida","orcid":null},"institutions":[{"id":"https://openalex.org/I96636082","display_name":"Meijo University","ror":"https://ror.org/04h42fc75","country_code":"JP","type":"education","lineage":["https://openalex.org/I96636082"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Tetsuo Tsuchida","raw_affiliation_strings":["Department of Mathematics, Meijo University, Shiogamaguchi, Tenpaku-ku, Nagoya 468-8502, Japan. E-mail: tsuchida@meijo-u.ac.jp"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Meijo University, Shiogamaguchi, Tenpaku-ku, Nagoya 468-8502, Japan. E-mail: tsuchida@meijo-u.ac.jp","institution_ids":["https://openalex.org/I96636082"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.04556788,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"79","issue":"1-2","first_page":"161","last_page":"187"},"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9995999932289124,"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":0.9954000115394592,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5688057541847229},{"id":"https://openalex.org/keywords/asymptotic-expansion","display_name":"Asymptotic expansion","score":0.4733060896396637},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3985767662525177},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3847064673900604}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5688057541847229},{"id":"https://openalex.org/C11683690","wikidata":"https://www.wikidata.org/wiki/Q752726","display_name":"Asymptotic expansion","level":2,"score":0.4733060896396637},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3985767662525177},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3847064673900604}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/asy-2012-1091","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-2012-1091","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":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.5400000214576721}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1545201582","https://openalex.org/W1569024867","https://openalex.org/W1585241149","https://openalex.org/W1592958377","https://openalex.org/W1995407506","https://openalex.org/W2012663965","https://openalex.org/W2013550248","https://openalex.org/W2027194558","https://openalex.org/W2031530638","https://openalex.org/W2041861204","https://openalex.org/W2052727633","https://openalex.org/W2055133422","https://openalex.org/W2057795623","https://openalex.org/W2074865746","https://openalex.org/W2092987417","https://openalex.org/W2094873048","https://openalex.org/W2104369108","https://openalex.org/W2157141650","https://openalex.org/W2163714768","https://openalex.org/W2281020272"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2800368952","https://openalex.org/W2396619362"],"abstract_inverted_index":{"We":[0],"obtain,":[1],"by":[2],"exploiting":[3],"Jost":[4],"functions,":[5],"asymptotic":[6,35],"expansions":[7,36],"of":[8,11,24,40],"Green":[9,30],"functions":[10],"perturbed":[12,44],"Hill":[13,45],"operators":[14],"with":[15],"respect":[16],"to":[17],"the":[18,22,25,29],"spectral":[19],"parameter":[20],"around":[21],"minima":[23],"continuous":[26],"spectra.":[27],"From":[28],"function":[31],"expansions,":[32],"we":[33],"derive":[34],"for":[37,43],"large":[38],"time":[39],"heat":[41],"kernels":[42],"operators.":[46]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
