{"title":"二维monge - ampantere方程的内部C^2估计","authors":"Jiakun Liu","doi":"10.1090/PROC/15459","DOIUrl":null,"url":null,"abstract":"We obtain a genuine local $C^2$ estimate for the Monge-Ampere equation in dimension two, by using the partial Legendre transform.","PeriodicalId":8445,"journal":{"name":"arXiv: Analysis of PDEs","volume":"6 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2020-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Interior $C^2$ estimate for Monge-Ampère equation in dimension two\",\"authors\":\"Jiakun Liu\",\"doi\":\"10.1090/PROC/15459\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We obtain a genuine local $C^2$ estimate for the Monge-Ampere equation in dimension two, by using the partial Legendre transform.\",\"PeriodicalId\":8445,\"journal\":{\"name\":\"arXiv: Analysis of PDEs\",\"volume\":\"6 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-07-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv: Analysis of PDEs\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1090/PROC/15459\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv: Analysis of PDEs","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1090/PROC/15459","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}