{"title":"Analytic smoothing effect for the non-cutoff Vlasov-Poisson-Boltzmann system with hard potentials","authors":"Lvqiao Liu , Hao Wang","doi":"10.1016/j.jde.2025.01.087","DOIUrl":null,"url":null,"abstract":"<div><div>We study the regularization effect for the non-cutoff Vlasov-Poisson-Boltzmann system with hard potentials in the perturbation setting. Inspired by the techniques developed in Chen-Li-Xu <span><span>[13]</span></span>, we prove the analytic regularity in both space and velocity variables when the initial data has mild regularity.</div></div>","PeriodicalId":15623,"journal":{"name":"Journal of Differential Equations","volume":"427 ","pages":"Pages 442-477"},"PeriodicalIF":2.4000,"publicationDate":"2025-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Differential Equations","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022039625001007","RegionNum":2,"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 study the regularization effect for the non-cutoff Vlasov-Poisson-Boltzmann system with hard potentials in the perturbation setting. Inspired by the techniques developed in Chen-Li-Xu [13], we prove the analytic regularity in both space and velocity variables when the initial data has mild regularity.
期刊介绍：
The Journal of Differential Equations is concerned with the theory and the application of differential equations. The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools.
Research Areas Include:
• Mathematical control theory
• Ordinary differential equations
• Partial differential equations
• Stochastic differential equations
• Topological dynamics
• Related topics
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