摘要
研究R^n中一般的BBM-Burgers方程解的渐进行为.运用Green函数法和Fourier分析方法得到了在非零常状态u~*附近小扰动解的逐点估计,作为一个推论,又得到了L^p(R^n)(1≤p<∞)空间解的最佳的衰减估计.
In this paper,the author focuses on the time-asymptotic behavior of solution for the scalar multi-dimensional generalized BBM-Burgers equation in the whole-space Rn.By using Green's function method combined with Fourier analysis method,the author yields the pointwise estimates of the solution when the initial data is a small perturbation around the constant state u*,(u* ≠ 0).As a corollary,the optimal decay rate in Lp(Rn)(1 ≤ p ≤ o∞) space is obtained.
出处
《数学物理学报(A辑)》
CSCD
北大核心
2014年第3期473-486,共14页
Acta Mathematica Scientia
基金
国家自然科学基金(11071162
11231006
11171212
11171213)资助