期刊
COMPTES RENDUS MATHEMATIQUE
卷 345, 期 3, 页码 151-154出版社
ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
DOI: 10.1016/j.crma.2007.06.018
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We present some new results concerning well-posedness of gradient flows generated by lambda-convex functionals in a wide class of metric spaces, including Alexandrov spaces satisfying a lower curvature bound and the corresponding L-2-Wasserstein spaces. Applications to the gradient flow of Entropy functionals in metric-measure spaces with Ricci curvature bounded from below and to the corresponding diffusion semigroup are also considered. These results have been announced during the workshop on Optimal Transport: theory and applications held in Pisa, November 2006.
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