{"title":"一类广义非线性kirchhoff - sin - gordon方程的全局吸引子","authors":"Ruijin Lou, Penghui Lv, Guoguang Lin","doi":"10.4236/IJMNTA.2016.51008","DOIUrl":null,"url":null,"abstract":"In this \npaper, we consider a class of generalized nonlinear Kirchhoff-Sine-Gordon equation . By a priori \nestimation, we first prove the existence and uniqueness of solutions to the \ninitial boundary value conditions, and then we study the global attractors of \nthe equation.","PeriodicalId":69680,"journal":{"name":"现代非线性理论与应用(英文)","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2016-03-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Global Attractors for a Class of Generalized Nonlinear Kirchhoff-Sine-Gordon Equation\",\"authors\":\"Ruijin Lou, Penghui Lv, Guoguang Lin\",\"doi\":\"10.4236/IJMNTA.2016.51008\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this \\npaper, we consider a class of generalized nonlinear Kirchhoff-Sine-Gordon equation . By a priori \\nestimation, we first prove the existence and uniqueness of solutions to the \\ninitial boundary value conditions, and then we study the global attractors of \\nthe equation.\",\"PeriodicalId\":69680,\"journal\":{\"name\":\"现代非线性理论与应用(英文)\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-03-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"现代非线性理论与应用(英文)\",\"FirstCategoryId\":\"1093\",\"ListUrlMain\":\"https://doi.org/10.4236/IJMNTA.2016.51008\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"现代非线性理论与应用(英文)","FirstCategoryId":"1093","ListUrlMain":"https://doi.org/10.4236/IJMNTA.2016.51008","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
摘要
本文考虑了一类广义非线性kirchhoff - sin - gordon方程。通过先验估计，首先证明了初始边值条件解的存在唯一性，然后研究了方程的全局吸引子。
Global Attractors for a Class of Generalized Nonlinear Kirchhoff-Sine-Gordon Equation
In this
paper, we consider a class of generalized nonlinear Kirchhoff-Sine-Gordon equation . By a priori
estimation, we first prove the existence and uniqueness of solutions to the
initial boundary value conditions, and then we study the global attractors of
the equation.
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