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.
Nonlinear diffusion equations and curvature conditions in metric measure 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.