Finsler structure in the \(p\)-Wasserstein space and gradient flows
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Publication:664921
DOI10.1016/j.crma.2011.11.014zbMath1239.53021OpenAlexW1978964995MaRDI QIDQ664921
Publication date: 5 March 2012
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.crma.2011.11.014
PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Spaces of measures, convergence of measures (28A33) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)
Related Items (7)
Generalized displacement convexity for nonlinear mobility continuity equation and entropy power concavity on Wasserstein space over Riemannian manifolds ⋮ Nonlocal Cross-Interaction Systems on Graphs: Nonquadratic Finslerian Structure and Nonlinear Mobilities ⋮ Nonlocal cross-interaction systems on graphs: energy landscape and dynamics ⋮ One-dimensional numerical algorithms for gradient flows in the \(p\)-Wasserstein spaces ⋮ On the curvature and heat flow on Hamiltonian systems ⋮ Nonlocal-interaction equation on graphs: gradient flow structure and continuum limit ⋮ Continuum limit of total variation on point clouds
Cites Work
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- The Variational Formulation of the Fokker--Planck Equation
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