{"id":"https://openalex.org/W2003080029","doi":"https://doi.org/10.1137/s0036141001393341","title":"On the H\u00f6lder Continuity of Solutions of a Certain System Related to Maxwell's Equations","display_name":"On the H\u00f6lder Continuity of Solutions of a Certain System Related to Maxwell's Equations","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W2003080029","doi":"https://doi.org/10.1137/s0036141001393341","mag":"2003080029"},"language":"en","primary_location":{"id":"doi:10.1137/s0036141001393341","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036141001393341","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/A5111489069","display_name":"Kyungkeun Kang","orcid":null},"institutions":[{"id":"https://openalex.org/I530967","display_name":"Toronto Metropolitan University","ror":"https://ror.org/05g13zd79","country_code":"CA","type":"education","lineage":["https://openalex.org/I530967"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Kyungkeun Kang","raw_affiliation_strings":["Department of Mathematics"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics","institution_ids":["https://openalex.org/I530967"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006695691","display_name":"Seick Kim","orcid":"https://orcid.org/0000-0002-1220-3257"},"institutions":[{"id":"https://openalex.org/I530967","display_name":"Toronto Metropolitan University","ror":"https://ror.org/05g13zd79","country_code":"CA","type":"education","lineage":["https://openalex.org/I530967"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Seick Kim","raw_affiliation_strings":["Department of Mathematics"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics","institution_ids":["https://openalex.org/I530967"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5111489069"],"corresponding_institution_ids":["https://openalex.org/I530967"],"apc_list":null,"apc_paid":null,"fwci":1.397,"has_fulltext":true,"cited_by_count":15,"citation_normalized_percentile":{"value":0.77247119,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"34","issue":"1","first_page":"87","last_page":"100"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9998000264167786,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9995999932289124,"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/curl","display_name":"Curl (programming language)","score":0.8996478319168091},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7829930782318115},{"id":"https://openalex.org/keywords/maxwells-equations","display_name":"Maxwell's equations","score":0.7824833393096924},{"id":"https://openalex.org/keywords/h\u00f6lder-condition","display_name":"H\u00f6lder condition","score":0.6891993880271912},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.6811044216156006},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6472851634025574},{"id":"https://openalex.org/keywords/electromagnetic-field","display_name":"Electromagnetic field","score":0.4953957796096802},{"id":"https://openalex.org/keywords/inhomogeneous-electromagnetic-wave-equation","display_name":"Inhomogeneous electromagnetic wave equation","score":0.4294167757034302},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17739397287368774},{"id":"https://openalex.org/keywords/optical-field","display_name":"Optical field","score":0.13174694776535034}],"concepts":[{"id":"https://openalex.org/C147663694","wikidata":"https://www.wikidata.org/wiki/Q1144631","display_name":"Curl (programming language)","level":2,"score":0.8996478319168091},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7829930782318115},{"id":"https://openalex.org/C59282198","wikidata":"https://www.wikidata.org/wiki/Q51501","display_name":"Maxwell's equations","level":2,"score":0.7824833393096924},{"id":"https://openalex.org/C553313952","wikidata":"https://www.wikidata.org/wiki/Q1537963","display_name":"H\u00f6lder condition","level":2,"score":0.6891993880271912},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6811044216156006},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6472851634025574},{"id":"https://openalex.org/C28843909","wikidata":"https://www.wikidata.org/wiki/Q177625","display_name":"Electromagnetic field","level":2,"score":0.4953957796096802},{"id":"https://openalex.org/C76969448","wikidata":"https://www.wikidata.org/wiki/Q6033855","display_name":"Inhomogeneous electromagnetic wave equation","level":4,"score":0.4294167757034302},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17739397287368774},{"id":"https://openalex.org/C154452299","wikidata":"https://www.wikidata.org/wiki/Q7098853","display_name":"Optical field","level":3,"score":0.13174694776535034},{"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/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/s0036141001393341","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036141001393341","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"},{"id":"pmh:oai:conservancy.umn.edu:11299/3668","is_oa":false,"landing_page_url":"http://purl.umn.edu/3668","pdf_url":null,"source":{"id":"https://openalex.org/S4306402521","display_name":"University of Minnesota Digital Conservancy (University of Minnesota)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I130238516","host_organization_name":"University of Minnesota","host_organization_lineage":["https://openalex.org/I130238516"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""},{"id":"pmh:oai:edoc.mpg.de:28129","is_oa":false,"landing_page_url":"http://edoc.mpg.de/28129","pdf_url":null,"source":{"id":"https://openalex.org/S4406922265","display_name":"Max Planck Institute for Plasma Physics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Mathematical Analysis, v.34, 87-100 (2002)","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W68775310","https://openalex.org/W107356227","https://openalex.org/W1594387031","https://openalex.org/W1866311589","https://openalex.org/W2034748158","https://openalex.org/W2048870656","https://openalex.org/W2497367977","https://openalex.org/W2572979937","https://openalex.org/W4239890145"],"related_works":["https://openalex.org/W2003080029","https://openalex.org/W3087401659","https://openalex.org/W4300338851","https://openalex.org/W2781592068","https://openalex.org/W3113092123","https://openalex.org/W1512188299","https://openalex.org/W2763696304","https://openalex.org/W2555001017","https://openalex.org/W4244690316","https://openalex.org/W2019788229"],"abstract_inverted_index":{"We":[0],"study":[1],"the":[2,22,29,37,44],"system":[3,30],"curl":[4],"(a(x)curl":[5],"u)=0,":[6],"div":[7],"u=0":[8],"with":[9],"a":[10,48],"bounded":[11],"measurable":[12],"coefficient":[13],"a(x).":[14],"The":[15],"main":[16],"result":[17],"of":[18,25,28,40,43],"this":[19],"paper":[20],"is":[21],"H\u00f6lder":[23],"continuity":[24],"weak":[26,41],"solutions":[27,42],"above.":[31],"As":[32],"an":[33],"application,":[34],"we":[35],"prove":[36],"$C^\\alpha$":[38],"regularity":[39],"Maxwell's":[45],"equations":[46],"in":[47],"quasi-stationary":[49],"electromagnetic":[50],"field.":[51]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}