Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pathwise existence of solutions to the Implicit Euler method for the
  stochastic Cahn-Hilliard Equation   We consider the implicit Euler approximation of the stochastic Cahn-Hilliard
equation driven by additive Gaussian noise in a spatial domain with smooth
boundary in dimension $d\le 3$. We show pathwise existence and uniqueness of
solutions for the method under a restriction on the step size that is
independent of the size of the initial value and of the increments of the
Wiener process. This result also relaxes the imposed assumption on the time
step for the deterministic Cahn-Hilliard equation assumed in earlier existence
proofs.

12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th