| 一类二阶椭圆型偏微分方程解的先验估计 |
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| 引用本文： | 张涛,陈忠.一类二阶椭圆型偏微分方程解的先验估计[J].成都大学学报(自然科学版),2009,28(4):305-307. |
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| 作者姓名： | 张涛 陈忠 |
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| 作者单位： | 长江大学,信息与数学学院,湖北,荆州,434023 |
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| 基金项目： | 国家自然科学基金，教育部重点实验室开放基金，湖北省教育厅重点科研基金 |
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| 摘 要： | 在工程上利用计算机进行二阶椭圆型偏微分方程数值解的计算时,必须考虑数值解是否稳定,算法能否得以实现,为此必须考虑其解的存在性,即讨论它的解是否具有稳定性.利用Sobolev嵌入定理,对一类二阶椭圆型偏微分方程证明了解的先验估计.
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| 关 键 词： | 二阶椭圆方程 Sobolev嵌入定理 先验估计 |
One Prior Estimate for Solution of a Second-order Elliptic Partial Differential Equation |
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| ZHANG Tao,CHEN Zhong.One Prior Estimate for Solution of a Second-order Elliptic Partial Differential Equation[J].Journal of Chengdu University (Natural Science),2009,28(4):305-307. |
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| Authors: | ZHANG Tao CHEN Zhong |
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| Institution: | ZHANG Tao,CHEN Zhong(School of Information , Mathematics,Yangtze University,Jingzhou 434023,China) |
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| Abstract: | When computers are used to compute the numerical solution of the second-order elliptic partial differential equations,stability of numerical solution and the realization of the algorithm must be taken into account.Therefore,existence of solutions must be considered.Namely,the stability of its solution must be discussed.Using the Sobolev embedded theorem,a prior estimate for the solution of a second-order elliptic partial differential equation was proved. |
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| Keywords: | second-order elliptic equation Sobolev embedded theorem priori estimate |
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