{"id":"https://openalex.org/W1980654830","doi":"https://doi.org/10.1137/050636796","title":"The Distribution of Surface Superconductivity Along the Boundary: On a Conjecture of X. B. Pan","display_name":"The Distribution of Surface Superconductivity Along the Boundary: On a Conjecture of X. B. Pan","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W1980654830","doi":"https://doi.org/10.1137/050636796","mag":"1980654830"},"language":"en","primary_location":{"id":"doi:10.1137/050636796","is_oa":false,"landing_page_url":"https://doi.org/10.1137/050636796","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/A5002675749","display_name":"Yaniv Almog","orcid":"https://orcid.org/0000-0002-5008-0200"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Yaniv Almog","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5076342883","display_name":"Bernard Helffer","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bernard Helffer","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5002675749"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.8588,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.83812988,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"38","issue":"6","first_page":"1715","last_page":"1732"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"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/T10591","display_name":"Theoretical and Computational Physics","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"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":0.9987999796867371,"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":0.9987000226974487,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/superconductivity","display_name":"Superconductivity","score":0.8076894283294678},{"id":"https://openalex.org/keywords/pointwise","display_name":"Pointwise","score":0.7645552754402161},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7548726201057434},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.6735444664955139},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5937576293945312},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5908541083335876},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5375127196311951},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5240007638931274},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.5118491053581238},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.5023205280303955},{"id":"https://openalex.org/keywords/condensed-matter-physics","display_name":"Condensed matter physics","score":0.4992225170135498},{"id":"https://openalex.org/keywords/magnetic-field","display_name":"Magnetic field","score":0.4776362478733063},{"id":"https://openalex.org/keywords/sense","display_name":"Sense (electronics)","score":0.4503636360168457},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.44825148582458496},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.4129520058631897},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2461298704147339},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2460123598575592},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.24014288187026978},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.19935759902000427},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.07266616821289062}],"concepts":[{"id":"https://openalex.org/C54101563","wikidata":"https://www.wikidata.org/wiki/Q124131","display_name":"Superconductivity","level":2,"score":0.8076894283294678},{"id":"https://openalex.org/C2777984123","wikidata":"https://www.wikidata.org/wiki/Q9248237","display_name":"Pointwise","level":2,"score":0.7645552754402161},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7548726201057434},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.6735444664955139},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5937576293945312},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5908541083335876},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5375127196311951},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5240007638931274},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.5118491053581238},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.5023205280303955},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.4992225170135498},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.4776362478733063},{"id":"https://openalex.org/C143141573","wikidata":"https://www.wikidata.org/wiki/Q7450971","display_name":"Sense (electronics)","level":2,"score":0.4503636360168457},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.44825148582458496},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.4129520058631897},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2461298704147339},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2460123598575592},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.24014288187026978},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.19935759902000427},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.07266616821289062},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C147789679","wikidata":"https://www.wikidata.org/wiki/Q11372","display_name":"Physical chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/050636796","is_oa":false,"landing_page_url":"https://doi.org/10.1137/050636796","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W180274869","https://openalex.org/W1645807286","https://openalex.org/W1708145938","https://openalex.org/W1974730466","https://openalex.org/W1979839526","https://openalex.org/W1991496322","https://openalex.org/W1995009750","https://openalex.org/W2008776660","https://openalex.org/W2019658175","https://openalex.org/W2030255224","https://openalex.org/W2037673450","https://openalex.org/W2058914591","https://openalex.org/W2062056515","https://openalex.org/W2070223275","https://openalex.org/W2088341366","https://openalex.org/W2088859737","https://openalex.org/W2089799684","https://openalex.org/W2104022682","https://openalex.org/W2163941997"],"related_works":["https://openalex.org/W2140020064","https://openalex.org/W143502885","https://openalex.org/W42113618","https://openalex.org/W2103468410","https://openalex.org/W1856228368","https://openalex.org/W3197542402","https://openalex.org/W2971527398","https://openalex.org/W1025150868","https://openalex.org/W2645958880","https://openalex.org/W1968809652"],"abstract_inverted_index":{"We":[0],"consider":[1],"the":[2,11,21,34,43,64,81],"Ginzburg\u2013Landau":[3],"model":[4],"of":[5],"superconductivity":[6,35,56],"in":[7,10,71,89],"two":[8],"dimensions":[9],"large":[12],"$\\kappa$":[13],"limit.":[14],"For":[15,66],"applied":[16,67],"magnetic":[17],"fields":[18,68],"weaker":[19,92],"than":[20,27],"onset":[22],"field":[23],"$H_{C_3}$":[24],"but":[25,88],"greater":[26],"$H_{C_2}$":[28,75],"it":[29],"is":[30],"well":[31],"known":[32],"that":[33,53,69,80],"order":[36],"parameter":[37],"decays":[38],"exponentially":[39],"fast":[40],"away":[41],"from":[42],"boundary.":[44,65],"It":[45],"has":[46],"been":[47],"conjectured":[48],"by":[49],"X.":[50],"B.":[51],"Pan":[52],"this":[54],"surface":[55],"solution":[57,82],"converges":[58,84],"pointwise":[59],"to":[60,85],"a":[61,86,90],"constant":[62,87],"along":[63],"are":[70],"some":[72],"sense":[73],"between":[74],"and":[76],"$H_{C_3}$,":[77],"we":[78],"prove":[79],"indeed":[83],"much":[91],"sense.":[93]},"counts_by_year":[{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}