| Khler-Ricci流下带有位能的热方程的微分Harnack不等式 |
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| 引用本文： | 方守文,叶斐. Khler-Ricci流下带有位能的热方程的微分Harnack不等式[J]. 数学学报, 2010, 53(3): 597-606 |
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| 作者姓名： | 方守文 叶斐 |
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| 作者单位： | 扬州大学数学科学学院;浙江大学数学中心; |
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| 摘 要： | 主要研究了在Khler-Ricci流下的Khler流形上具有位能热方程的微分Harnack不等式,并利用它们得到了对应的W泛函和F泛函的单调性.
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| 关 键 词： | Harnack不等式 Khler-Ricci流 热方程 |
| 收稿时间： | 2008-12-23 |
| 修稿时间： | 2009-12-22 |
Differential Harnack Inequalities for Heat Equations with Potentials Under Kähler--Ricci Flow |
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| Shou Wen FANG Fei YE The College of Mathematical Sciences,Yangzhou University,Yangzhou ,P.R.China Center of Mathematical Sciences,Zhejiang University,Hangzhou ,P.R.China. Differential Harnack Inequalities for Heat Equations with Potentials Under Kähler--Ricci Flow[J]. Acta Mathematica Sinica, 2010, 53(3): 597-606 |
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| Authors: | Shou Wen FANG Fei YE The College of Mathematical Sciences Yangzhou University Yangzhou P.R.China Center of Mathematical Sciences Zhejiang University Hangzhou P.R.China |
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| Affiliation: | The College of Mathematical Sciences, Yangzhou University, Yangzhou 225002, P. R. China;
Center of Mathematical Sciences, Zhejiang University, Hangzhou 310027, P. R. China |
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| Abstract: | We consider the differential Harnack inequalities for heat equations with potentials on Kähler manifolds under Kähler--Ricci flow, and get the monotonicity of corresponding W and F functionals by using them. |
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| Keywords: | Harnack inequality Kä hler--Ricci flow heat equation |
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