A logarithmic Sobolev form of the Li-Yau parabolic inequality

DOI10.4171/RMI/470zbMath1116.58024WikidataQ103821246 ScholiaQ103821246MaRDI QIDQ879634

Dominique Bakry, Michel Ledoux

Publication date: 14 May 2007

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmi/1161871352

zbMATH Keywords

gradient estimatelogarithmic Sobolev inequalityheat semigroupnon-negative curvaturediameter boundLi-Yau parabolic inequality

Mathematics Subject Classification ID

Probabilistic potential theory (60J45) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

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