Optimal decay rates of solutions for a multidimensional generalized Benjamin-Bona-Mahony equation

被引：15
|
作者：
Guo, Changhong [1 ]
Fang, Shaomei [1 ]
机构：
[1] S China Agr Univ, Dept Math, Guangzhou 510640, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2012年 / 75卷 / 07期
基金：
中国国家自然科学基金;
关键词：
Generalized Benjamin-Bona-Mahony equation; Fourier transform; Energy method; Optimal decay rates; INHOMOGENEOUS GBBM EQUATIONS; BOUNDARY-VALUE-PROBLEM; SYSTEMS;
D O I：
10.1016/j.na.2011.12.035
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the optimal decay rates of solutions for the generalized Benjamin-Bona-Mahony equation in multi-dimensional space (n >= 3). By using Fourier transform and the energy method, we obtain the L-q(2 <= q <= infinity) convergence rates of the solutions under the condition that the initial data is small. The optimal decay rates obtained in this paper are found to be the same as the decay rate for the Heat equation. (C) 2012 Elsevier Ltd. All rights reserved.
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页码：3385 / 3392
页数：8
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