| 完备非紧流形上的热方程 |
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| 引用本文： | 赵成兵.完备非紧流形上的热方程[J].同济大学学报(自然科学版),2011,39(6):924-925. |
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| 作者姓名： | 赵成兵 |
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| 作者单位： | 合肥工业大学管理学院,安徽合肥230009;安徽建筑工业学院数学系,安徽合肥230022 |
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| 基金项目： | 国家自然科学基金重点项目 (No70631003) |
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| 摘 要： | 研究了完备非紧有非负全纯双截曲率的Khler流形上的热方程,在一个较弱的条件下得到了它的正解的梯度估计和复Hessian估计.
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| 关 键 词： | 热方程 梯度估计 Hessian估计 正解 |
| 收稿时间： | 3/3/2010 4:31:23 PM |
| 修稿时间： | 2010/4/16 0:00:00 |
Heat Equation on Complete Noncompact Manifolds |
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| ZHAO Chengbing.Heat Equation on Complete Noncompact Manifolds[J].Journal of Tongji University(Natural Science),2011,39(6):924-925. |
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| Authors: | ZHAO Chengbing |
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| Institution: | Postdoctoral Research Station of Management College,Hefei University of Technology,Hefei 230009,China;Department of Mathematics,Anhui University of Architecture,Hefei 230022,China |
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| Abstract: | The heat equation on K\\"{a}hler manifolds with nonnegative and bounded bisectional curvature is studied,The gradient estimate of positive solutions and the complex Hessian estimate on it are got under a less condition. |
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| Keywords: | heat equations gradient estimate Hessian estimate positive solutions |
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