{"title":"一类半线性双温度热方程整体强解的存在性","authors":"Hai-Bo Chen, Ya-cheng Liu","doi":"10.3724/SP.J.1160.2012.00095","DOIUrl":null,"url":null,"abstract":"In this paper,we study the existence of the global strong solutions for a class of semi-linear dual-temperature equation.We introduce the potential well method and mainly prove the existence theorems of the global strong solutions,and then we,prove some norm estimates of solutions and their derivatives before the proof of theorem.","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"14 1","pages":"95"},"PeriodicalIF":0.0000,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Existence of the Global Strong Solutions for a Class of Semi-linear Dual-Temperature Heat Equation\",\"authors\":\"Hai-Bo Chen, Ya-cheng Liu\",\"doi\":\"10.3724/SP.J.1160.2012.00095\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper,we study the existence of the global strong solutions for a class of semi-linear dual-temperature equation.We introduce the potential well method and mainly prove the existence theorems of the global strong solutions,and then we,prove some norm estimates of solutions and their derivatives before the proof of theorem.\",\"PeriodicalId\":62008,\"journal\":{\"name\":\"应用泛函分析学报\",\"volume\":\"14 1\",\"pages\":\"95\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"应用泛函分析学报\",\"FirstCategoryId\":\"1089\",\"ListUrlMain\":\"https://doi.org/10.3724/SP.J.1160.2012.00095\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"应用泛函分析学报","FirstCategoryId":"1089","ListUrlMain":"https://doi.org/10.3724/SP.J.1160.2012.00095","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Existence of the Global Strong Solutions for a Class of Semi-linear Dual-Temperature Heat Equation
In this paper,we study the existence of the global strong solutions for a class of semi-linear dual-temperature equation.We introduce the potential well method and mainly prove the existence theorems of the global strong solutions,and then we,prove some norm estimates of solutions and their derivatives before the proof of theorem.
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