Space-time Wasserstein controls and Bakry-Ledoux type gradient estimates

DOI10.1007/s00526-014-0781-2zbMath1386.60273arXiv1308.5471OpenAlexW2024661445MaRDI QIDQ493172

Kazumasa Kuwada

Publication date: 11 September 2015

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.5471

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Diffusion processes (60J60) Diffusion processes and stochastic analysis on manifolds (58J65) Duality theory (optimization) (49N15)

Related Items (9)

Diffusion, optimal transport and Ricci curvature ⋮ \((K,N)\)-convexity and the curvature-dimension condition for negative \(N\) ⋮ About the analogy between optimal transport and minimal entropy ⋮ Lagrangian calculus for nonsymmetric diffusion operators ⋮ Monotonicity and rigidity of the \(\mathcal{W}\)-entropy on \(\mathsf{RCD} (0, N)\) spaces ⋮ On the equivalence of the entropic curvature-dimension condition and Bochner's inequality on metric measure spaces ⋮ Dynamical aspects of the generalized Schrödinger problem via Otto calculus -- a heuristic point of view ⋮ Dimensional contraction in Wasserstein distance for diffusion semigroups on a Riemannian manifold ⋮ Generalized Bakry-Émery curvature condition and equivalent entropic inequalities in groups

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