Harnack estimate for the Schrodinger equation under Ricci flow
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摘要: 利用C.M.Guenther处理热方程的方法证明了,度量沿Ricci流演化的闭流形上薛定谔方程正解的梯度估计和Harnack不等式,从而推广了有关结论.
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关键词:
- 薛定谔方程 /
- 梯度估计 /
- Harnack不等式 /
- Ricci流
Abstract: This paper established the gradient estimate and Harnack inequalities of the Schrodinger equation when the metric is evolved by Ricci flow, and extended the results ofthe heat equation by C.M.Guenther-
Key words:
- Schrodinger equation /
- gradient estimate /
- Harnack inequalities /
- Ricci flow
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