| 一类不适定的椭圆方程部分Dirichlet问题的正则化 |
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| 引用本文： | 徐晓阳,王玉文. 一类不适定的椭圆方程部分Dirichlet问题的正则化[J]. 哈尔滨师范大学自然科学学报, 2010, 26(1): 6-8 |
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| 作者姓名： | 徐晓阳 王玉文 |
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| 作者单位： | 哈尔滨师范大学 |
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| 基金项目： | 黑龙江省自然科学基金,黑龙江省教育厅骨干教师计划项目,哈师大博士启动基金 |
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| 摘 要： | 讨论椭圆方程部分Dirichlet边值问题,证得这种边值问题弱解的存在性及非唯一性.由此可见这类问题是不适定的.利用上述方程的混杂边值问题的弱解,将上述不适定问题进行了正则化,得到上述偏微分算子的右逆.
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| 关 键 词： | 椭圆方程 部分边值 混杂边值 |
The Regularity of a Kind of Ill-posed Part Dirichlet Problem |
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| Xu Xiaoyang,Wang Yuwen. The Regularity of a Kind of Ill-posed Part Dirichlet Problem[J]. Natural Science Journal of Harbin Normal University, 2010, 26(1): 6-8 |
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| Authors: | Xu Xiaoyang Wang Yuwen |
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| Affiliation: | (Harbin Normal University) |
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| Abstract: | In this paper,the Dirichlet boundary problem of Poisson equation is discussed. The weak solution of this boundary problem is existence and uniqueness.So This problem is illposed.The regularity of this ill-posed problem is achieved by using the weak solution of above boundary problem.The right inver of PDE operator is gained. |
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| Keywords: | Poisson equation Parts of boundary Problem Mix boudary |
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