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一类双色散波方程的Cauchy问题
引用本文:郭基风,李红.一类双色散波方程的Cauchy问题[J].数学季刊,2007,22(3):415-425.
作者姓名:郭基风  李红
作者单位:School of Software Zhongyuan University of Technology,College of Science Zhongyuan University of Technology Zhengzhou 450007,China,Zhengzhou 450007,China
摘    要:This paper concerns with the Cauchy problem for the nonlinear double dispersive wave equation.By the priori estimates and the method in 9],It proves that the Cauchy problem admits a unique global classical solution.And by the concave method,we give sufficient conditions on the blowup of the global solution for the Cauchy problem.

关 键 词:双色散波方程  Cauchy问题  全局解  偏微分方程
文章编号:1002-0462(2007)03-0415-11
收稿时间:2006-05-16
修稿时间:2006年5月16日

Cauchy Problem for the Nonlinear Double Dispersive Wave Equation
GUO Ji-feng,LI Hong.Cauchy Problem for the Nonlinear Double Dispersive Wave Equation[J].Chinese Quarterly Journal of Mathematics,2007,22(3):415-425.
Authors:GUO Ji-feng  LI Hong
Abstract:This paper concerns with the Cauchy problem for the nonlinear double dispersive wave equation.By the priori estimates and the method in 9],It proves that the Cauchy problem admits a unique global classical solution.And by the concave method,we give sufficient conditions on the blowup of the global solution for the Cauchy problem.
Keywords:Cauchy problem  double dispersive wave equation  global classical solution  blowup
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