{"title":"椭圆-抛物Morrey空间-势-容及其在一定演化PDE中的应用","authors":"David R. Adams, Jie Xiao","doi":"10.1112/jlms.70131","DOIUrl":null,"url":null,"abstract":"<p>This article shows the optimal parabolic generalizations of some known strong–weak results for the elliptic Morrey spaces–potentials–capacities, thereby studying not only the heat-type equations but also the Navier–Stokes-type equations as well as the wave-type equations living within the elliptic-to-parabolic Morrey spaces.</p>","PeriodicalId":49989,"journal":{"name":"Journal of the London Mathematical Society-Second Series","volume":"111 4","pages":""},"PeriodicalIF":1.2000,"publicationDate":"2025-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Elliptic-to-parabolic Morrey spaces–potentials–capacities with applications to certain evolution PDE\",\"authors\":\"David R. Adams, Jie Xiao\",\"doi\":\"10.1112/jlms.70131\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>This article shows the optimal parabolic generalizations of some known strong–weak results for the elliptic Morrey spaces–potentials–capacities, thereby studying not only the heat-type equations but also the Navier–Stokes-type equations as well as the wave-type equations living within the elliptic-to-parabolic Morrey spaces.</p>\",\"PeriodicalId\":49989,\"journal\":{\"name\":\"Journal of the London Mathematical Society-Second Series\",\"volume\":\"111 4\",\"pages\":\"\"},\"PeriodicalIF\":1.2000,\"publicationDate\":\"2025-04-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of the London Mathematical Society-Second Series\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://londmathsoc.onlinelibrary.wiley.com/doi/10.1112/jlms.70131\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the London Mathematical Society-Second Series","FirstCategoryId":"100","ListUrlMain":"https://londmathsoc.onlinelibrary.wiley.com/doi/10.1112/jlms.70131","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
Elliptic-to-parabolic Morrey spaces–potentials–capacities with applications to certain evolution PDE
This article shows the optimal parabolic generalizations of some known strong–weak results for the elliptic Morrey spaces–potentials–capacities, thereby studying not only the heat-type equations but also the Navier–Stokes-type equations as well as the wave-type equations living within the elliptic-to-parabolic Morrey spaces.
期刊介绍：
The Journal of the London Mathematical Society has been publishing leading research in a broad range of mathematical subject areas since 1926. The Journal welcomes papers on subjects of general interest that represent a significant advance in mathematical knowledge, as well as submissions that are deemed to stimulate new interest and research activity.
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