| 带边界Riemann流形上的Sobolev空间等价范数 |
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| 引用本文： | 郭柏灵,王友德. 带边界Riemann流形上的Sobolev空间等价范数[J]. 数学研究, 1995, 28(1): 24-32 |
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| 作者姓名： | 郭柏灵 王友德 |
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| 作者单位： | 北京应用物理与计算数学研究所 |
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| 摘 要： | 对具光滑边界αＭ的Ｒｉｅｍａｎｎ流形（Ｍ，ｇ），本文建立了Ｓｏｂｏｌｅｖ空间Ｈ（Ｍ）的等价范数
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| 关 键 词： | Riemann流形，Sobolev空间，等价范数 |
The Equivalent Norms of Sobolev Spaces on Riemannian Manifolds with Boundaries |
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| Guo Boling, Wang Youde. The Equivalent Norms of Sobolev Spaces on Riemannian Manifolds with Boundaries[J]. Journal of Mathematical Study, 1995, 28(1): 24-32 |
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| Authors: | Guo Boling Wang Youde |
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| Affiliation: | Institute of Applied Physics and Computational Mathematics. Beijing 100088 |
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| Abstract: | In this paper we establish some theorems with respect to the equivalent norms of Sobolev spaces H(M) on a Riemannian manifold (M,g) with smooth boundary M. |
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| Keywords: | Riemannian manifold Sobolev space Equivalent norm |
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