{"id":"https://openalex.org/W4409190851","doi":"https://doi.org/10.1007/s00209-025-03730-w","title":"Regularity for non-linear integro-differential equations","display_name":"Regularity for non-linear integro-differential equations","publication_year":2025,"publication_date":"2025-04-05","ids":{"openalex":"https://openalex.org/W4409190851","doi":"https://doi.org/10.1007/s00209-025-03730-w"},"language":"en","primary_location":{"id":"doi:10.1007/s00209-025-03730-w","doi":"https://doi.org/10.1007/s00209-025-03730-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00209-025-03730-w","pdf_url":null,"source":{"id":"https://openalex.org/S104894821","display_name":"Mathematische Zeitschrift","issn_l":"0025-5874","issn":["0025-5874","1432-1823"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-2","poland-100","russia-white-list-2"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematische Zeitschrift","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2309.02408","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5053133265","display_name":"Shaoguang Shi","orcid":"https://orcid.org/0000-0002-2125-2763","observed_orcids":["https://orcid.org/0000-0002-2125-2763","https://orcid.org/0000-0001-7088-6271"]},"institutions":[{"id":"https://openalex.org/I15823474","display_name":"Linyi University","ror":"https://ror.org/01knv0402","country_code":"CN","type":"education","lineage":["https://openalex.org/I15823474"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shaoguang Shi","raw_affiliation_strings":["School of Mathematics and Statistics, Linyi University, Linyi, 276005, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Linyi University, Linyi, 276005, China","institution_ids":["https://openalex.org/I15823474"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041392381","display_name":"Guanglan Wang","orcid":"https://orcid.org/0009-0001-8868-929X","observed_orcids":["https://orcid.org/0009-0001-8868-929X"]},"institutions":[{"id":"https://openalex.org/I15823474","display_name":"Linyi University","ror":"https://ror.org/01knv0402","country_code":"CN","type":"education","lineage":["https://openalex.org/I15823474"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Guanglan Wang","raw_affiliation_strings":["School of Mathematics and Statistics, Linyi University, Linyi, 276005, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Linyi University, Linyi, 276005, China","institution_ids":["https://openalex.org/I15823474"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5116938178","display_name":"Zhizhun Zhai","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I924318406","display_name":"MacEwan University","ror":"https://ror.org/003s89n44","country_code":"CA","type":"education","lineage":["https://openalex.org/I924318406"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Zhizhun Zhai","raw_affiliation_strings":["Department of Mathematics and Statistics, MacEwan University, Edmonton, AB, T5J2P2, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, MacEwan University, Edmonton, AB, T5J2P2, Canada","institution_ids":["https://openalex.org/I924318406"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5041392381","https://openalex.org/A5116938178"],"corresponding_institution_ids":["https://openalex.org/I15823474","https://openalex.org/I924318406"],"apc_list":{"value":3290,"currency":"USD","value_usd":3290},"apc_paid":null,"fwci":1.2059,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.69722505,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"310","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9336000084877014,"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"}},"topics":[{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9336000084877014,"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"}},{"id":"https://openalex.org/T11049","display_name":"Advanced Harmonic Analysis Research","score":0.03840000182390213,"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"}},{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.006200000178068876,"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/integro-differential-equations","display_name":"integro-differential equations","score":0.7979999780654907},{"id":"https://openalex.org/keywords/regularity-criteria","display_name":"regularity criteria","score":0.7950000166893005},{"id":"https://openalex.org/keywords/wiener-criterion","display_name":"Wiener criterion","score":0.7689999938011169},{"id":"https://openalex.org/keywords/wolff-potential","display_name":"Wolff potential","score":0.8289999961853027},{"id":"https://openalex.org/keywords/condenser","display_name":"condenser","score":0.6269999742507935},{"id":"https://openalex.org/keywords/potential-theory","display_name":"potential theory","score":0.6980000138282776}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8907366991043091},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.48321545124053955},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4240199625492096},{"id":"https://openalex.org/C70985411","wikidata":"https://www.wikidata.org/wiki/Q2380676","display_name":"Integro-differential equation","level":4,"score":0.41143208742141724},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3749518394470215},{"id":"https://openalex.org/C64057670","wikidata":"https://www.wikidata.org/wiki/Q4381442","display_name":"First-order partial differential equation","level":3,"score":0.07541894912719727}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00209-025-03730-w","doi":"https://doi.org/10.1007/s00209-025-03730-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00209-025-03730-w","pdf_url":null,"source":{"id":"https://openalex.org/S104894821","display_name":"Mathematische Zeitschrift","issn_l":"0025-5874","issn":["0025-5874","1432-1823"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-2","poland-100","russia-white-list-2"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematische Zeitschrift","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2309.02408","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2309.02408","pdf_url":"https://arxiv.org/pdf/2309.02408","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2309.02408","doi":"https://doi.org/10.48550/arxiv.2309.02408","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2309.02408","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2309.02408","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2309.02408","pdf_url":"https://arxiv.org/pdf/2309.02408","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G148206105","display_name":null,"funder_award_id":"ZR2019YQ04","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G238764227","display_name":null,"funder_award_id":"12271232","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3262394244","display_name":null,"funder_award_id":"2020KJI002","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5101894822","display_name":null,"funder_award_id":"ZR2019YQ04","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5399602424","display_name":null,"funder_award_id":"12071197","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8450924439","display_name":null,"funder_award_id":"2020KJI002","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G8634962176","display_name":null,"funder_award_id":"ZR2021MA079","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320324174","display_name":"Natural Science Foundation of Shandong Province","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4409190851.pdf","grobid_xml":"https://content.openalex.org/works/W4409190851.grobid-xml"},"referenced_works_count":39,"referenced_works":["https://openalex.org/W779605620","https://openalex.org/W1174852537","https://openalex.org/W1480253648","https://openalex.org/W1544375930","https://openalex.org/W1565237852","https://openalex.org/W1979049759","https://openalex.org/W1999392261","https://openalex.org/W2003645415","https://openalex.org/W2012063459","https://openalex.org/W2018183451","https://openalex.org/W2044837570","https://openalex.org/W2046336873","https://openalex.org/W2051555751","https://openalex.org/W2054116999","https://openalex.org/W2062701522","https://openalex.org/W2068042821","https://openalex.org/W2079213305","https://openalex.org/W2082716720","https://openalex.org/W2168741104","https://openalex.org/W2172034033","https://openalex.org/W2253387322","https://openalex.org/W2264544667","https://openalex.org/W2276642269","https://openalex.org/W2290364266","https://openalex.org/W2318153773","https://openalex.org/W2325862767","https://openalex.org/W2326257912","https://openalex.org/W2335356794","https://openalex.org/W2337207836","https://openalex.org/W2346678452","https://openalex.org/W2347411262","https://openalex.org/W2561198947","https://openalex.org/W2795052578","https://openalex.org/W2806621896","https://openalex.org/W2883223081","https://openalex.org/W3037777336","https://openalex.org/W3082153731","https://openalex.org/W3169636558","https://openalex.org/W4318200189"],"related_works":["https://openalex.org/W4386560181","https://openalex.org/W7204264338","https://openalex.org/W7117717921","https://openalex.org/W1792145416","https://openalex.org/W2042997186","https://openalex.org/W4402294436","https://openalex.org/W3082002410","https://openalex.org/W3156068483","https://openalex.org/W4406461944","https://openalex.org/W7204990143"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1}],"updated_date":"2026-11-13T13:42:25.865203","created_date":"2025-04-06T00:00:00"}
