Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: L^2-Theory for non-symmetric Ornstein-Uhlenbeck semigroups on domains   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.

29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin