{"title":"A volume constraint problem for the nonlocal doubly nonlinear parabolic equation","authors":"Masashi Misawa, Kenta Nakamura, Yoshihiko Yamaura","doi":"10.3934/mine.2023098","DOIUrl":null,"url":null,"abstract":"<abstract><p>We consider a volume constraint problem for the nonlocal doubly nonlinear parabolic equation, called the nonlocal $ p $-Sobolev flow, and introduce a nonlinear intrinsic scaling, converting a prototype nonlocal doubly nonlinear parabolic equation into the nonlocal $ p $-Sobolev flow. This paper is dedicated to Giuseppe Mingione on the occasion of his 50th birthday, who is a maestro in the regularity theory of PDEs.</p></abstract>","PeriodicalId":54213,"journal":{"name":"Mathematics in Engineering","volume":"43 1","pages":"0"},"PeriodicalIF":1.4000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics in Engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3934/mine.2023098","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
引用次数: 0
Abstract
We consider a volume constraint problem for the nonlocal doubly nonlinear parabolic equation, called the nonlocal $ p $-Sobolev flow, and introduce a nonlinear intrinsic scaling, converting a prototype nonlocal doubly nonlinear parabolic equation into the nonlocal $ p $-Sobolev flow. This paper is dedicated to Giuseppe Mingione on the occasion of his 50th birthday, who is a maestro in the regularity theory of PDEs.
< >& gt;& gt;我们考虑非局部双非线性抛物方程的体积约束问题，称为非局部$ p $-Sobolev流，并引入非线性内禀标度，将原型非局部双非线性抛物方程转化为非局部$ p $-Sobolev流。本文是在Giuseppe Mingione 50岁生日之际献给他的，他是偏微分方程正则性理论的大师。</p></abstract>
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
