On the Bakry-Émery condition, the gradient estimates and the local-to-global property of \(\mathrm{RCD}^*(K,N)\) metric measure spaces

DOI10.1007/s12220-014-9537-7zbMath1335.35088arXiv1309.4664OpenAlexW3104860055MaRDI QIDQ254233

Luigi Ambrosio, Giuseppe Savaré, Andrea Mondino

Publication date: 8 March 2016

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.4664

zbMATH Keywords

Dirichlet formsoptimal transport\(CD(K,N)\) spacesBakry-Émery curvature bounds

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Brownian motion (60J65) Dirichlet forms (31C25) Heat equation (35K05) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

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