{"title":"带驱动函数约束的弦性Loewner方程解的取值范围","authors":"A. Zherdev","doi":"10.15393/J3.ART.2019.6270","DOIUrl":null,"url":null,"abstract":"We consider a value range $\\{g(i,T)\\}$ of solutions to the chordal Loewner equation with the restriction $|\\lambda(t)| \\le c$ on the driving function. We use reachable set methods and the Pontryagin maximum principle.","PeriodicalId":41813,"journal":{"name":"Problemy Analiza-Issues of Analysis","volume":"46 1","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2019-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Value range of solutions to the chordal Loewner equation with restriction on the driving function\",\"authors\":\"A. Zherdev\",\"doi\":\"10.15393/J3.ART.2019.6270\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We consider a value range $\\\\{g(i,T)\\\\}$ of solutions to the chordal Loewner equation with the restriction $|\\\\lambda(t)| \\\\le c$ on the driving function. We use reachable set methods and the Pontryagin maximum principle.\",\"PeriodicalId\":41813,\"journal\":{\"name\":\"Problemy Analiza-Issues of Analysis\",\"volume\":\"46 1\",\"pages\":\"\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2019-05-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Problemy Analiza-Issues of Analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.15393/J3.ART.2019.6270\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Problemy Analiza-Issues of Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.15393/J3.ART.2019.6270","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
Value range of solutions to the chordal Loewner equation with restriction on the driving function
We consider a value range $\{g(i,T)\}$ of solutions to the chordal Loewner equation with the restriction $|\lambda(t)| \le c$ on the driving function. We use reachable set methods and the Pontryagin maximum principle.
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