非线性带阻尼项波动方程的初边值问题解的存在性研究

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1、上海交通大学硕士学位论文非线性带阻尼项波动方程的初边值问题解的存在性研究姓名：陈娇申请学位级别：硕士专业：应用数学指导教师：王维克20081201ExistenceofSolutionfortheIBVPforNonlinearWaveEquationwithDampingAbstractInthispaperwefocusontheglobalexistenceofsolutionfortheIBVPtothe2-Dnonlinearwaveequationwithdamping.Here,wefirstgivetheproperboundarycon-dition,andgetthee

2、stimateofsolutionofthelinearproblembyenergyestimate,thengetthelocalexistenceofsolutionofthenonlinearproblembytheiterativescheme.Wegettheprioriestimatebytheweightedenergyestimate,thenprovetheglobal-in-timeexistenceanddecayestimateofsolutiontotheinitial-boundaryvalueproblem.Keywordsµnonlinear,wavee

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