{"title":"具有不变解析集的平面全局解析向量场的若干注释","authors":"I. A. García","doi":"10.1080/14689367.2021.1872502","DOIUrl":null,"url":null,"abstract":"We study the problem of determining the canonical form that a planar analytic vector field in all the real plane can have to possess a given invariant analytic set. We determine some conditions that guarantee the only solution to this inverse problem is the trivial one.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/14689367.2021.1872502","citationCount":"0","resultStr":"{\"title\":\"Some remarks on global analytic planar vector fields possessing an invariant analytic set\",\"authors\":\"I. A. García\",\"doi\":\"10.1080/14689367.2021.1872502\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study the problem of determining the canonical form that a planar analytic vector field in all the real plane can have to possess a given invariant analytic set. We determine some conditions that guarantee the only solution to this inverse problem is the trivial one.\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2021-02-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1080/14689367.2021.1872502\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1080/14689367.2021.1872502\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/14689367.2021.1872502","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Some remarks on global analytic planar vector fields possessing an invariant analytic set
We study the problem of determining the canonical form that a planar analytic vector field in all the real plane can have to possess a given invariant analytic set. We determine some conditions that guarantee the only solution to this inverse problem is the trivial one.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
