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    • 王玉柱,陈翔英.一类Boussinesq型方程整体解的存在性和唯一性[J].数学年刊A辑,2011,32(5):565~578
    一类Boussinesq型方程整体解的存在性和唯一性
    Existence and Uniqueness of Global Solutions to a Class of Boussinesq Type Equations
      
    DOI：
    中文关键词:  Boussinesq型方程  Cauchy问题  整体解  解的爆破  
    英文关键词:Boussinesq type equation  Cauchy problem  Global solution  Blow up of solution  
    基金项目:国家自然科学基金(No.10971199,No.11101144); 河南省教育厅基金(No.2009C110006); 华北水利水电学院高层次人才科研启动项目(No.201031)资助的项目
    Author NameAffiliationE-mail
    WANG Yuzhu School of Mathematics and Information Sciences,North China University of Water Resources and Electric Power,Zhengzhou 450011,China. yuzhu108@163.com 
    CHEN Xiangying Department of Economy and Trade,Zhengzhou Electric Power College,Zhengzhou 450004,China. chenxiangying@126.com 
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    中文摘要:
          证明一类6阶Boussinesq型方程Cauchy问题整体广义解和整体古典解的存在性和唯一性, 给出解在有限时刻发生爆破的充分条件.
    英文摘要:
          In this paper, the existence and uniqueness of global generalized solutions and global classical solutions to the Cauchy problem for a class of Boussinesq type equations of sixth order are proved. Some sufficient conditions of blow up of solutions to this Cauchy problem in finite time are also given.
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