Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stochastic differential equations in a scale of Hilbert spaces 2. Global
  solutions   A stochastic differential equation with coefficients defined in a scale of
Hilbert spaces is considered. The existence, uniqueness and path-continuity of
infinite-time solutions is proved by an extension of the Ovsyannikov method.
This result is applied to a system of equations describing non-equilibrium
stochastic dynamics of (real-valued) spins of an infinite particle system on a
typical realization of a Poisson or Gibbs point process in ${\mathbb{R}}^{n}$.
The paper improves the results of the work by the second named author
"Stochastic differential equations in a scale of Hilbert spaces", Electron. J.
Probab. 23, where finite-time solutions were constructed.

13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th