| 多维的一般的BBM-Burgers方程解的逐点估计 |
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| 引用本文： | 张丹丹.多维的一般的BBM-Burgers方程解的逐点估计[J].数学物理学报(A辑),2014,34(3):473-486. |
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| 作者姓名： | 张丹丹 |
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| 作者单位： | 上海交通大学数学系 上海 200240 |
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| 基金项目： | 国家自然科学基金(11071162, 11231006, 11171212, 11171213)资助 |
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| 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.
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| 关 键 词： | BBM-Burgers方程 Green函数 最佳衰减估计 能量方法 逐点估计. |
| 收稿时间： | 2013-05-27 |
| 修稿时间： | 2013-12-20 |
Pointwise Estimates for the Solution to the Multi-Dimensional Generalized BBM-Burgers Equation |
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| ZHANG Dan-Dan.Pointwise Estimates for the Solution to the Multi-Dimensional Generalized BBM-Burgers Equation[J].Acta Mathematica Scientia,2014,34(3):473-486. |
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| Authors: | ZHANG Dan-Dan |
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| Institution: | Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240 |
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| Abstract: | 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≤∞) space is obtained. |
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| Keywords: | BBM-Burgers equationzz Green´ s functionzz Optimal decay estimateszz Energy methodzz Pointwise estimateszz |
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