Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stochastic parabolic evolution equations in M-type 2 Banach spaces   This paper is devoted to studying stochastic parabolic evolution equations
with additive noise in Banach spaces of M-type 2. We construct both strict and
mild solutions possessing very strong regularities. First, we consider the
linear case. We prove existence and uniqueness of strict and mild solutions and
show their maximal regularities. Second, we explore the semilinear case.
Existence, uniqueness and regularity of mild and strict solutions are shown.
Regular dependence of mild solutions on initial data is also investigated.
Finally, some applications to stochastic partial differential equations are
presented.

37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat