Description of the smoothing effects of semigroups generated by fractional Ornstein-Uhlenbeck operators and subelliptic estimates

DOI10.1007/s00028-022-00798-3OpenAlexW3040883480MaRDI QIDQ2122663

Paul Alphonse

Publication date: 7 April 2022

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

Full work available at URL: https://arxiv.org/abs/2007.04593

zbMATH Keywords

subelliptic estimatesKalman rank conditionfractional Ornstein-Uhlenbeck operatorsGevrey-type regularity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) One-parameter semigroups and linear evolution equations (47D06) Subelliptic equations (35H20)

Related Items (1)

Approximate Null-Controllability with Uniform Cost for the Hypoelliptic Ornstein–Uhlenbeck Equations

Cites Work

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• Smoothing properties of fractional Ornstein-Uhlenbeck semigroups and null-controllability
• Some remarks on degenerate hypoelliptic Ornstein-Uhlenbeck operators
• Short-time asymptotics of the regularizing effect for semigroups generated by quadratic operators
• On the Ornstein-Uhlenbeck operator in 𝐿² spaces with respect to invariant measures

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