An upper bound of the heat kernel along the harmonic-Ricci flow
An upper bound of the heat kernel along the harmonic-Ricci flow
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DOI：
10.1007/s00229-016-0825-3
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发表时间：
2015-01
影响因子：
0.6
通讯作者：
Shouwen Fang;Taotao Zheng
中科院分区：
文献类型：
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作者：
Shouwen Fang;Taotao Zheng
在本文中，我们首先推导出一个Sobolev不等式沿着调和Ricci流。然后，我们证明了一个线性抛物估计的基础上Sobolev不等式和Moser的迭代。作为一个应用，我们将得到一个上界估计的热核下的流动。
In this paper, we first derive a Sobolev inequality along the harmonic-Ricci flow. We then prove a linear parabolic estimate based on the Sobolev inequality and Moser’s iteration. As an application, we will obtain an upper bound estimate for the heat kernel under the flow.