| 一类一阶非线性方程组Dirichlet问题粘性解的比较原理 |
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| 引用本文： | 汪元伦.一类一阶非线性方程组Dirichlet问题粘性解的比较原理[J].绵阳师范学院学报,2006,25(2):8-9,14. |
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| 作者姓名： | 汪元伦 |
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| 作者单位： | 绵阳师范学院数学与信息科学系,四川,绵阳,621000 |
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| 摘 要： | 讨论了一类一阶非线性方程组Dirichlet问题粘性解的比较原理。首先给出了这类一阶非线性方程组Dirichlet问题粘性下解和粘性上解的定义,然后给出了该方程组Dirichlet问题粘性解的比较原理及比较原理的证明。
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| 关 键 词： | 方程组 上(下)解 比较原理 |
| 文章编号： | 1672-612x（2006）02-0008-02 |
| 收稿时间： | 08 19 2005 12:00AM |
| 修稿时间： | 2005-08-19 |
The Comparison Principle for Viscosity Solutions of the Dirichlet Problems of the First -order Nonlinear System of Equations |
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| WANG Yuan-lun.The Comparison Principle for Viscosity Solutions of the Dirichlet Problems of the First -order Nonlinear System of Equations[J].Journal of Mianyang Normal University,2006,25(2):8-9,14. |
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| Authors: | WANG Yuan-lun |
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| Institution: | Department of Mathematics and Information Science, Mianyang Normal University , Mianyang, Sichuan 621000 |
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| Abstract: | By giving first the definitions of the viscosity supersolution and subsolution of the first-order non- linear system of equations,we have discussed the comparison principle for the viscosity solutions of the Dirichlet problems of this equation system and finally give the comparison principle as well as its proof. |
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| Keywords: | system of equations supersolution(subsolution) comparison principle |
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