Yau and Souplet-Zhang type gradient estimates on Riemannian manifolds with boundary under Dirichlet boundary condition

Yau and Souplet-Zhang type gradient estimates on Riemannian manifolds with boundary under Dirichlet boundary condition
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Dirichlet边界条件下有边界黎曼流形的Yau和Souplet-Zhang型梯度​​估计

DOI：
10.1090/proc/15768
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发表时间：
2022
期刊：
Proc. Amer. Math. Soc.
影响因子：
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通讯作者：
Keita Kunikawa and Yohei Sakurai
Keita Kunikawa and Yohei Sakurai
中科院分区：
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文献类型：
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作者：
Sato Ryuichi;Takahashi Jin;高橋仁;高橋仁;高橋仁;高橋仁;高橋仁;Jin Takahashi;高橋仁;高橋仁;高橋仁;高橋仁;高橋仁;高橋仁;高橋仁;高橋仁;J. Takahashi;J. Takahashi;J. Takahashi;高橋仁;J. Takahashi;Keita Kunikawa and Yohei Sakurai

文献摘要

相似文献

本文在有边黎曼流形上，建立了调和函数在Dirichlet边界条件下的Yau型梯度估计和Liouville定理。在类似的情况下，我们还制定了一个Souplet-Zhang型梯度估计和Liouville定理的古代解决方案的热方程。引用
In this paper, on Riemannian manifolds with boundary, we establish a Yau type gradient estimate and Liouville theorem for harmonic functions under Dirichlet boundary condition. Under a similar setting, we also formulate a Souplet-Zhang type gradient estimate and Liouville theorem for ancient solutions to the heat equation. References