Dimension-free Harnack inequality and its applications

DOI10.1007/s11464-005-0021-3zbMath1222.58031OpenAlexW1544871511MaRDI QIDQ719982

Feng-Yu Wang

Publication date: 13 October 2011

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-005-0021-3

zbMATH Keywords

Harnack inequalityRiemannian manifoldheat kernelultracontractivityhypercontractivitydiffusion semigroupsupercontractivity

Mathematics Subject Classification ID

Applications of stochastic analysis (to PDEs, etc.) (60H30) Diffusion processes and stochastic analysis on manifolds (58J65) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (7)

Ergodicity of transition semigroups for stochastic fast diffusion equations ⋮ Curvature-dimension estimates for the Laplace-Beltrami operator of a totally geodesic foliation ⋮ HARNACK INEQUALITIES AND APPLICATIONS FOR MULTIVALUED STOCHASTIC EVOLUTION EQUATIONS ⋮ Harnack inequalities for Ornstein-Uhlenbeck processes driven by Lévy processes ⋮ Branching processes with immigration and related topics ⋮ Transportation inequalities for Markov kernels and their applications ⋮ Log-Sobolev inequalities for subelliptic operators satisfying a generalized curvature dimension inequality

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