Eulerian calculus for the displacement convexity in the wasserstein distance

SIAM Journal on Mathematical Analysis

Volumn 40, Issue 3, 2008, Pages 1104-1122

  Daneri, Sara ^a   Savaré, Giuseppe ^a,b  

^a SISSA   (Italy)

^b UNIVERSITY OF PAVIA   (Italy)

Author keywords

Displacement convexity; Gradient flows; Heat and porous medium equation; Kantorovich Rubinstein Wasserstein distance; Nonlinear diffusion; Optimal transport; Riemannian manifolds with a lower Ricci curvature bound

Indexed keywords

DISPLACEMENT CONVEXITY; GRADIENT FLOWS; HEAT AND POROUS MEDIUM EQUATION; KANTOROVICH-RUBINSTEIN-WASSERSTEIN DISTANCE; NONLINEAR DIFFUSION; OPTIMAL TRANSPORT; RIEMANNIAN MANIFOLDS WITH A LOWER RICCI CURVATURE BOUND;

COMPUTATIONAL FLUID DYNAMICS; OPTIMIZATION; POROUS MATERIALS;

NONLINEAR EQUATIONS;

EID: 54349129004     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/08071346X     Document Type: Article

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