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    • 查中伟,向以华.非线性发展方程混合问题解的爆破性质[J].数学年刊A辑,2012,33(3):383~388
    非线性发展方程混合问题解的爆破性质
    Blow up Property of Solutions to the Mixed Problem of Nonlinear Evolution Equations
      
    DOI：
    中文关键词:  非线性发展方程  第三类边界条件  解的爆破  凸性方法
    英文关键词:Nonlinear evolution equation, Boundary condition of the third type, Blow up of solution, Convex method
    基金项目:重庆市科委科研基金
    Author NameAffiliationE-mail
    ZHA ZhongweiXIANG Yihua Department of Mathematics and Statistics, Chongqing Three Gorges Univer- sity, Chongqing 404000, china sxxyzzw@163.com 
    XIANG Yihua Department of Mathematics and Statistics, Chongqing Three Gorges Univer- sity, Chongqing 404000, china xyh5775@yahoo.com.cn 
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    中文摘要:
          讨论了具有第三类非线性边界条件的非线性发展方程的混合问题,并在已知函数满足某些假设的条件下,利用抛物型方程的最大值原理和凸性方法,证明了该问题的解在有限时间内爆破.
    英文摘要:
          The mixed problem with nonlinear boundary condition of the third type for nonlinear evolution equations is discussed. The blow up of solutions in a finite time is proved under some assumptions on known functions by the maximum principle and the convex method of parabolic equation.
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