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(2018.11.16)Guoyi Xu:Gradient estimate of harmonic function and eigenfunctions (by Guoyi Xu)
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Update time: 2018-11-15
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Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:

Guoyi Xu,Tsinghua University

Inviter:  
Title:
Gradient estimate of harmonic function and eigenfunctions (by Guoyi Xu)
Time & Venue:
2018.11.16 11:00-12:00 N913
Abstract:
Since Cheng-Yau proved the gradient estimate of harmonic functions in 1975, their method played important role in geometric analysis.Its philosophy was generalized to prove the lower bound of eigenvalues and parabolic Harnack estimate by Li-Yau, later to establish the Harnack estimate in Ricci flow by Hamilton, the fundamental gap theorem by Andrews and Clutterbuck. In this talk, we will firstly review the history of gradient estimate and its important application, then present our recent results in this direction. Some open questions will be posed in “accessible disguise”, basic PDE and Riemannian geometry is enough to understand most part of the talk.
 

 

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