semiconvex

English

Alternative forms
  • semi-convex

Etymology

semi- +‎ convex

Adjective

semiconvex (not comparable)

  1. (mathematics, of a function, f) Having 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.
    • 2015, Katy Craig, “Nonconvex gradient flow in the Wasserstein metric and applications to constrained nonlocal interactions”, in arXiv‎:
      We also prove the first quantitative estimates on convergence of the discrete gradient flow or "JKO scheme" outside of the semiconvex case.
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