The initial-boundary value problem for the generalized double dispersion equation

被引：8

作者：

Su, Xiao ^{[1
]}

Wang, Shubin ^{[1
]}

机构：

[1] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Peoples R China

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2017年 / 68卷 / 03期

关键词：

Generalized double dispersion equation; Global existence; Blowup; TIME BLOW-UP; POTENTIAL WELL METHOD; GLOBAL EXISTENCE; CAUCHY-PROBLEM; BOUSSINESQ EQUATION; NONEXISTENCE; INSTABILITY;

D O I：

10.1007/s00033-017-0798-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the initial-boundary value problem for the generalized double dispersion equation in all space dimension. Under the suitable assumptions on the initial data and the parameters in the equation, we establish several results concerning local existence, global existence, uniqueness, and finite time blowup property. The exponential decay rate of the energy is proved for global solutions. The sufficient and necessary conditions of global solutions and finite time blowup of solutions are given, respectively.

引用

页数：21

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