| 三维双极欧拉泊松方程解的逐点估计 |
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| 引用本文： | 秦 爽,黎野平.三维双极欧拉泊松方程解的逐点估计[J].上海师范大学学报(自然科学版),2012,41(3):221-230. |
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| 作者姓名： | 秦 爽 黎野平 |
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| 作者单位： | 上海师范大学数理学院,上海,200234 |
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| 基金项目： | Supported by the National Science Foundation of China(11171223) |
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| 摘 要： | 主要研究半导体器件和等离子体中一类三维双极欧拉泊松方程．当初值是一个定常状态附近的小扰动时，通过对格林函数的分析和对应的能量估计，给出了初边值问题的光滑解的逐点估计；其次，也得到了解的最佳Lp衰减率．
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| 关 键 词： | 格林函数 能量方法 逐点估计 |
Pointwise estimates for the solutions of the three-dimensional bipolar Euler-Poisson equation |
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| QIN Shuang
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LI Ye-ping.Pointwise estimates for the solutions of the three-dimensional bipolar Euler-Poisson equation[J].Journal of Shanghai Normal University(Natural Sciences),2012,41(3):221-230. |
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| Authors: | QIN Shuang LI Ye-ping |
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| Institution: | (College of Mathematics and Sciences,Shanghai Normal University,Shanghai 200234,China) |
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| Abstract: | We discuss the three-dimensional bipolar Euler-Poisson equation from semiconductor devices and plasmas.From the analysis of Green function and the elaborate energy estimates,we show the pointwise estimates for the smooth solutions of the initial value problem when the initial data are small perturbations around the constant state.Then we obtain the optimal L p(R3) convergence rate of the solutions. |
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| Keywords: | Green function energy method pointwise estimates |
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