Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On pointwise Malliavin differentiability of solutions to semilinear
  parabolic SPDEs   We obtain estimates on the first-order Malliavin derivative of mild
solutions, evaluated at fixed points in time and space, to a class of parabolic
dissipative stochastic PDEs on bounded domain of $\mathbb{R}^d$. In particular,
such equations are driven by multiplicative Wiener noise and the nonlinear
drift term is the superposition operator associated to a locally Lipschitz
continuous function satisfying suitable polynomial growth bounds. The main
arguments rely on the well-posedness theory in the mild sense for stochastic
evolution equations in Banach spaces, monotonicity, and a comparison principle.

29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex