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Nonconvex gradient flow in the Wasserstein metric and applications to constrained nonlocal interactions

Katy Craig
Proceedings of the London Mathematical Society 114 (1) 60 (2017)
DOI: 10.1112/plms.12005
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Gradient flows and Evolution Variational Inequalities in metric spaces. I: Structural properties

Matteo Muratori and Giuseppe Savaré
Journal of Functional Analysis 108347 (2019)
DOI: 10.1016/j.jfa.2019.108347
See this article