{"title":"Rate of Convergence in the Smoluchowski-Kramers Approximation for Mean-field Stochastic Differential Equations","authors":"T. C. Son, D. Le, M. H. Duong","doi":"10.1007/s11118-023-10078-5","DOIUrl":"https://doi.org/10.1007/s11118-023-10078-5","url":null,"abstract":"","PeriodicalId":49679,"journal":{"name":"Potential Analysis","volume":" ","pages":""},"PeriodicalIF":1.1,"publicationDate":"2022-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47483873","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Asymptotic Average Solutions to Linear Second Order Semi-Elliptic PDEs: A Pizzetti-Type Theorem","authors":"A. Kogoj, E. Lanconelli","doi":"10.1007/s11118-023-10063-y","DOIUrl":"https://doi.org/10.1007/s11118-023-10063-y","url":null,"abstract":"","PeriodicalId":49679,"journal":{"name":"Potential Analysis","volume":" ","pages":""},"PeriodicalIF":1.1,"publicationDate":"2022-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49544766","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The Robin Mean Value Equation II: Asymptotic Hölder Regularity","authors":"M. Lewicka, Y. Peres","doi":"10.1007/s11118-022-10014-z","DOIUrl":"https://doi.org/10.1007/s11118-022-10014-z","url":null,"abstract":"","PeriodicalId":49679,"journal":{"name":"Potential Analysis","volume":" ","pages":""},"PeriodicalIF":1.1,"publicationDate":"2022-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46487435","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Equivalence of Subcritical and Critical Adams Inequalities in $W^{m,2}(mathbb {R}^{2m})$ and Existence and Non-existence of Extremals for Adams Inequalities under Inhomogeneous Constraints","authors":"Caifeng Zhang, Lu Chen","doi":"10.1007/s11118-022-10040-x","DOIUrl":"https://doi.org/10.1007/s11118-022-10040-x","url":null,"abstract":"","PeriodicalId":49679,"journal":{"name":"Potential Analysis","volume":" ","pages":""},"PeriodicalIF":1.1,"publicationDate":"2022-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48019092","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Mixed Inequalities for Operators Associated to Critical Radius Functions with Applications to Schrödinger Type Operators","authors":"Fabio Berra, G. Pradolini, P. Quijano","doi":"10.1007/s11118-022-10049-2","DOIUrl":"https://doi.org/10.1007/s11118-022-10049-2","url":null,"abstract":"","PeriodicalId":49679,"journal":{"name":"Potential Analysis","volume":" ","pages":""},"PeriodicalIF":1.1,"publicationDate":"2022-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47253113","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The Weighted Hp Estimates for Commutators of Fractional Integrals","authors":"Yanyan Han, Huo-xiong Wu","doi":"10.1007/s11118-022-10033-w","DOIUrl":"https://doi.org/10.1007/s11118-022-10033-w","url":null,"abstract":"","PeriodicalId":49679,"journal":{"name":"Potential Analysis","volume":" ","pages":""},"PeriodicalIF":1.1,"publicationDate":"2022-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44807193","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Non-Gaussian Measures in Infinite Dimensional Spaces: the Gamma-Grey Noise","authors":"L. Beghin, L. Cristofaro, J. Gajda","doi":"10.1007/s11118-023-10099-0","DOIUrl":"https://doi.org/10.1007/s11118-023-10099-0","url":null,"abstract":"","PeriodicalId":49679,"journal":{"name":"Potential Analysis","volume":" ","pages":""},"PeriodicalIF":1.1,"publicationDate":"2022-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49208084","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The Robin Mean Value Equation I: A Random Walk Approach to the Third Boundary Value Problem","authors":"M. Lewicka, Y. Peres","doi":"10.1007/s11118-022-10016-x","DOIUrl":"https://doi.org/10.1007/s11118-022-10016-x","url":null,"abstract":"","PeriodicalId":49679,"journal":{"name":"Potential Analysis","volume":"49 3","pages":""},"PeriodicalIF":1.1,"publicationDate":"2022-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41303992","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}