Sobolev–Kantorovich inequalities under CD(0,∞) condition

DOI10.1142/S0219199721500279zbMath1495.39014arXiv1603.07378OpenAlexW3137172314MaRDI QIDQ5865472

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Publication date: 9 June 2022

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.07378

zbMATH Keywords

gradient estimateHarnack inequalityRiemannian manifoldSobolev normheat flowKantorovich norm

Mathematics Subject Classification ID

Functional inequalities, including subadditivity, convexity, etc. (39B62) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Heat and other parabolic equation methods for PDEs on manifolds (58J35) General theory of functional equations and inequalities (39B05) Systems of functional equations and inequalities (39B72)

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