| 线性齐次偏微分方程组的既约化基 |
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| 引用本文： | 张善卿,李志斌,潘素起. 线性齐次偏微分方程组的既约化基[J]. 系统科学与数学, 2004, 24(2): 163-168 |
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| 作者姓名： | 张善卿 李志斌 潘素起 |
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| 作者单位： | 华东师范大学计算机科学技术系,上海,200062 |
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| 基金项目： | 高等学校博士点科研基金(20020269003)资助课题. |
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| 摘 要： | 本文参照代数Grobner基的思想,提出线性齐次偏微分方程组的既约化基的概念, 并给出了线性齐次偏微分方程组的既约化基的唯一性定理.
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| 关 键 词： | 线性齐次偏微分方程组 Grobner基 Janet基 |
| 修稿时间： | 2002-09-28 |
REDUCED BASIS FOR LINEAR HOMOGENEOUS PARTIAL DIFFERENTIAL EQUATIONS |
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| Shan Qing ZHANG,Zhi Bin LI,Su Qi PAN. REDUCED BASIS FOR LINEAR HOMOGENEOUS PARTIAL DIFFERENTIAL EQUATIONS[J]. Journal of Systems Science and Mathematical Sciences, 2004, 24(2): 163-168 |
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| Authors: | Shan Qing ZHANG Zhi Bin LI Su Qi PAN |
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| Affiliation: | Department of Computer Science, East China Normal University, Shanghai 200062 |
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| Abstract: | According to the algebraic Grobner basis,the concept of reduced basis for linear homogeneous partial differential equations(LHPDEs) is proposed, and the uniqueness of the reduced basis is proved. |
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| Keywords: | Linear homogeneous partial difiFerential equations Grobner basis Janet basis. |
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