The paper proves contractivity, regularity, and uniqueness for gradient flows of (K,N)-convex functionals with negative N on metric spaces, using evolution variational inequalities.
Local Conditions for Global Convergence of Gradient Flows and Proximal Point Sequences in Metric Spaces
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Gradient flows of $(K,N)$-convex functions with negative $N$
The paper proves contractivity, regularity, and uniqueness for gradient flows of (K,N)-convex functionals with negative N on metric spaces, using evolution variational inequalities.