4 papers
Baillon-Bruck-Reich revisited: divergent-series parameters and strong convergence in the linear case
Sedi Bartz, Heinz H. Bauschke, Yuan Gao
The Krasnoselskii-Mann iteration is an important algorithm in optimization and variational analysis for finding fixed points of nonexpansive mappings. In the general case, it produ…
On the equivalence of -potentiability and -path boundedness in the sense of Artstein-Avidan, Sadovsky, and Wyczesany
Sedi Bartz, Heinz H. Bauschke, Yuan Gao
A cornerstone of convex analysis, established by Rockafellar in 1966, asserts that a set has a potential if and only if it is cyclically monotone. This characterization was general…
Homogenization of Wasserstein gradient flows
Yuan Gao, Nung Kwan Yip
We prove the convergence of a Wasserstein gradient flow of a free energy in inhomogeneous media. Both the energy and media can depend on the spatial variable in a fast oscillatory…
Carleman estimates for higher order partial differential operators and its applications
Xiaoyu Fu, Yuan Gao
In this paper, we obtain a Carleman estimate for the higher order partial differential operator. In the process of establishing this estimate, we developed a new method, which is c…