一类双色散波方程的Cauchy问题

数学季刊 ›› 2007, Vol. 22 ›› Issue (3): 415-425.

一类双色散波方程的Cauchy问题

1. School of Software Zhongyuan University of Technology 2. College of Science Zhongyuan University of Technology

收稿日期:2006-05-16 出版日期:2007-09-30 发布日期:2023-10-30
作者简介:GUO Ji-feng(1963-),female, native of Suizhou, Hubei, an associate profeasor of Zhongyuan University of Technology, engages in differential equation.
基金资助:
Supported by the Natural Science Foundation of Henan Province(0611050500)

Cauchy Problem for the Nonlinear Double Dispersive Wave Equation

1. School of Software Zhongyuan University of Technology 2. College of Science Zhongyuan University of Technology

Received:2006-05-16 Online:2007-09-30 Published:2023-10-30
About author:GUO Ji-feng(1963-),female, native of Suizhou, Hubei, an associate profeasor of Zhongyuan University of Technology, engages in differential equation.
Supported by:
Supported by the Natural Science Foundation of Henan Province(0611050500)

摘要/Abstract

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: Cauchy problem, double dispersive wave equation, global classical solution, blowup

Key words: Cauchy problem, double dispersive wave equation, global classical solution, blowup

中图分类号:

O175.2

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.

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.

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