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An optimal transport approach to APB estimate on metric measure spaces

Speaker: 
Bangxian Han
Institution: 
USTC
Schedule: 
Thursday, September 21, 2023 - 14:00
Location: 
A-133
Abstract: 

During 1960s, Alexandroff, Bakelman, and Pucci introduced a method, called the ABP estimate today. It plays a key role in the regularity theory for fully nonlinear elliptic equations. In this talk, I will show how to generalize ABP estimate, with the help of optimal transport, to non-smooth metric measure spaces with synthetic lower Ricci curvatures bound.

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