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Log-Sobolev inequalities and hypercontractivity for Ornstein-Uhlenbeck evolution operators in infinite dimension

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Publication:6624899
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DOI10.1007/s00028-024-01005-1MaRDI QIDQ6624899

Paolo De Fazio, D. A. Bignamini

Publication date: 28 October 2024

Published in: Journal of Evolution Equations (Search for Journal in Brave)



zbMATH Keywords

logarithmic Sobolev inequalitiesnon-autonomous stochastic partial differential equationscontractivity estimatesMarkov transition evolution operators


Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Markov semigroups and applications to diffusion processes (47D07) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)








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