| 关于对数Sobolev常数的估计 |
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| 引用本文： | 王凤雨.关于对数Sobolev常数的估计[J].北京师范大学学报(自然科学版),1994,30(4):448-452. |
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| 作者姓名： | 王凤雨 |
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| 作者单位： | 北京师范大学数学系 |
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| 摘 要： | 研究紧Ｒｉｅｍａｎｎ流形上可逆扩散过程对数Ｓｏｂｏｌｅｖ常数的估计，所获结果在一些有意义情形（特别是负曲率下界情形）优于Ｄｅｕｓｃｈｅｌ－Ｓｔｒｏｏｃｋ的估计，此外，对带边紧流形上的扩散过程，也给出了相同的估计。
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| 关 键 词： | 扩散过程 对数 索伯列夫常数 黎曼流形 |
ON ESTIMATION OF LOGARITHMIC SOBOLEV CONSTANT |
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| Wang Fengyu.ON ESTIMATION OF LOGARITHMIC SOBOLEV CONSTANT[J].Journal of Beijing Normal University(Natural Science),1994,30(4):448-452. |
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| Authors: | Wang Fengyu |
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| Abstract: | Estimation of logarithmic Sobolev constant for reveisible diffusion processes on compact Riemannian manifolds is studied.The resulting estimates improves Deuschel-Strock's estimate for some interesting cases,especially for manifolds with negative lower bound of Ricci curvature.Finally,the same estimates are also proved for reflecting diffusion processes on manifold with boundary. |
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| Keywords: | diffusion process logarithmic Sobolev constant Riemannian manifold |
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