{"title":"Symmetrization results for parabolic equations with a singular lower order term","authors":"Ida de Bonis","doi":"10.1007/s11587-024-00876-3","DOIUrl":null,"url":null,"abstract":"<p>We provide symmetrization results as mass concentration comparisons for solutions to singular parabolic equations in the cylinder <span>\\(\\Omega \\times (0,T)\\)</span>, <span>\\(T>0\\)</span>. Here, <span>\\(\\Omega \\subset {\\mathbb {R}}^N\\)</span> (<span>\\(N \\ge 2\\)</span>) is a bounded open set, featuring a lower order term that is singular in the solution variable <i>s</i>.</p>","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":"20 1","pages":""},"PeriodicalIF":1.1000,"publicationDate":"2024-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Ricerche di Matematica","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s11587-024-00876-3","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
We provide symmetrization results as mass concentration comparisons for solutions to singular parabolic equations in the cylinder \(\Omega \times (0,T)\), \(T>0\). Here, \(\Omega \subset {\mathbb {R}}^N\) (\(N \ge 2\)) is a bounded open set, featuring a lower order term that is singular in the solution variable s.
期刊介绍：
“Ricerche di Matematica” publishes high-quality research articles in any field of pure and applied mathematics. Articles must be original and written in English. Details about article submission can be found online.
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
