L^2-Theory for non-symmetric Ornstein-Uhlenbeck semigroups on domains

Joyce Assaad; Jan van Neerven

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arXiv · 1207.0859

L^2-Theory for non-symmetric Ornstein-Uhlenbeck semigroups on domains

Joyce Assaad·Jan van Neerven

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Abstract

We present some new results on analytic Ornstein-Uhlenbeck semigroups and use them to extend recent work of Da Prato and Lunardi for Ornstein-Uhlenbeck semigroups on open domains O to the non-symmetric case. Denoting the generator of the semigroup by L_O, we obtain sufficient conditions in order that the domain Dom(\sqrt{-L_O}) be a first order Sobolev space.

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Joyce Assaad, Jan van Neerven. 2012-10-26. L^2-Theory for non-symmetric Ornstein-Uhlenbeck semigroups on domains. https://arxiv.org/abs/1207.0859

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