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Article Dans Une Revue Journal of Evolution Equations Année : 2022

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

Paul Alphonse
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Résumé

We study semigroups generated by general fractional Ornstein-Uhlenbeck operators acting on $L2(\mathbb R^n)$. We characterize geometrically the partial Gevrey-type smoothing properties of these semigroups and we sharply describe the blow-up of the associated seminorms for short times, generalizing the hypoelliptic and the quadratic cases. As a byproduct of this study, we establish partial subelliptic estimates enjoyed by fractional Ornstein-Uhlenbeck operators on the whole space by using interpolation theory.
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Dates et versions

hal-02894032 , version 1 (08-07-2020)
hal-02894032 , version 2 (28-12-2021)

Identifiants

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Paul Alphonse. Description of the smoothing effects of semigroups generated by fractional Ornstein-Uhlenbeck operators and subelliptic estimates. Journal of Evolution Equations, 2022, 22 (1), pp.article n° 28. ⟨10.1007/s00028-022-00798-3⟩. ⟨hal-02894032v2⟩
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