Periodic initial-value problem for BBM-Equation

被引：8
|
作者：
Chen, HQ [1 ]
机构：
[1] Univ Memphis, Dept Math Sci, Memphis, TN 38152 USA
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2004年 / 48卷 / 09期
关键词：
BBM-equation; KdV-equation dispersion relation; Fourier-multiplier;
D O I：
10.1016/j.camwa.2004.10.023
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The BBM or regularized long-wave equation [GRAPHICS] was originally proposed as an alternative to the Korteweg-de Vries equation in describing small-amplitude, long surface wave propagation. Its well-posedness in H-1(R) and L-2(R) have been studied by many authors. In this paper, I consider the BBM-equation while the initial data phi is a periodic function on line R. The result is that if phi is Lebesgue measurable and square-integrable within one period interval, then equation (0.1) is globally well posed in time t. (C) 2004 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1305 / 1318
页数：14
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