| 许友军,黄宠辉,杨晓霖.一类具有快速振荡系数的线性抛物方程的近似能控性[J].南华大学学报(自然科学版),2009,23(3):36~38.[XU You-jun,HUANG Chong-hui,YANG Xiao-lin.Approximate Controllability for a Parabolic Equation with Rapidly Oscillating Coefficients[J].Journal of University of South China(Science and Technology),2009,23(3):36~38.] |
| 一类具有快速振荡系数的线性抛物方程的近似能控性 |
| Approximate Controllability for a Parabolic Equation with Rapidly Oscillating Coefficients |
| 投稿时间：2009-01-14 |
| DOI： |
| 中文关键词: 能控性 均匀化 线性抛物系统 |
| 英文关键词:controllability homogenization parabolic equation |
| 基金项目: |
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| 摘要点击次数: 687 |
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| 中文摘要: |
| 考虑一类具有快速振荡系数的线性抛物系统的近似能控性,当ε→0时,具有快速振荡系数的线性抛物系统的近似控制和相应的解分别收敛于相应的均匀化问题的近似控制和相对应的解. |
| 英文摘要: |
| In this paper we consider an approximate controllability problem for linear parabolic equations with rapidly oscillating coefficients.We show that,as ε→0,the approximate control and the corresponding solution converge respectively to the approximate control and to the solution of the homogenized problem. |
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