Global existence and decay rates of solutions of generalized Benjamin-Bona-Mahony equations in multiple dimensions

被引：1
|
作者：
Xu H. [1 ]
Xin G. [2 ]
机构：
[1] College of Science, Hohai University, Nanjing
[2] China Electronics Technology Group Corporation, No. 28 Research Institute, Nanjing
来源：
Acta Mathematica Vietnamica | 2014年 / 39卷 / 2期
基金：
中国国家自然科学基金;
关键词：
Cauchy problem; Generalized Benjamin-Bona-Mahony equation; Global existence; Multiple dimensions;
D O I：
10.1007/s40306-014-0054-3
中图分类号：
学科分类号：
摘要：
We study the global existence and decay rates of the Cauchy problem for the generalized Benjamin-Bona-Mahony equations in multi-dimensional spaces. By using Fourier analysis, frequency decomposition, pseudo-differential operators and the energy method, we obtain global existence and optimal L2 convergence rates of the solution. © 2013 Institute of Mathematics, Vietnam Academy of Science and Technology (VAST) and Springer.
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页码：121 / 131
页数：10
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