| Poisson Equation on Some Complete Noncompact Manifolds |
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| 引用本文： | Xu Qian FAN. Poisson Equation on Some Complete Noncompact Manifolds[J]. 数学学报(英文版), 2007, 23(4): 623-638. DOI: 10.1007/s10114-005-0922-9 |
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| 作者姓名： | Xu Qian FAN |
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| 作者单位： | Department of Mathematics, Ji＇nan University, Guangzhou 510632, P. R. China |
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| 基金项目： | Research partially supported by the studentship of The Chinese University of Hong Kong, the Foundation of Ji＇nan University and GDNSF（06025219）, Guangdong, China |
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| 摘 要： |
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| 关 键 词： | 完全非紧流形 泊松方程 热力方程 Green函数 |
| 收稿时间： | 2005-08-26 |
| 修稿时间： | 2005-08-262006-03-01 |
Poisson Equation on Some Complete Noncompact Manifolds |
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| Xu Qian Fan. Poisson Equation on Some Complete Noncompact Manifolds[J]. Acta Mathematica Sinica(English Series), 2007, 23(4): 623-638. DOI: 10.1007/s10114-005-0922-9 |
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| Authors: | Xu Qian Fan |
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| Affiliation: | (1) Department of Mathematics, Ji'nan University, Guangzhou, 510632, P. R. China |
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| Abstract: | We study the Poisson equation on some complete noncompact manifolds with asymptotically nonnegative curvature. We will also study the limiting behavior of the nonhomogeneous heat equation on some complete noncompact manifolds with nonnegative curvature. |
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| Keywords: | Poisson equation heat equation Green's function |
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