semiconvex

alternative semi-convex

1. not comparablemathematicsHaving the property that for every compact subset of the domain, there exists a constant C such that f(x) + ½C|x|² is convex on the subset.

   We also prove the first quantitative estimates on convergence of the discrete gradient flow or "JKO scheme" outside of the semiconvex case.

   2015, Katy Craig, “Nonconvex gradient flow in the Wasserstein metric and applications to constrained nonlocal interactions”, in arXiv