Eulerian Calculus for the Displacement Convexity in the Wasserstein Distance
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Publication:3630357
DOI10.1137/08071346XzbMath1166.58011arXiv0801.2455MaRDI QIDQ3630357
Publication date: 28 May 2009
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0801.2455
Riemannian manifoldnonlinear diffusionoptimal transportgradient flowsdisplacement convexityRicci curvature boundheat and porous medium equationKantorovich--Rubinstein--Wasserstein distance
Variational inequalities (49J40) Heat and other parabolic equation methods for PDEs on manifolds (58J35)
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