Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Singular limits for stochastic equations   We study singular limits of stochastic evolution equations in the interplay
of disappearing strength of the noise and increasing roughness of the noise, so
that the noise in the limit would be too rough to define a solution to the
limiting equations. Simultaneously, the limit is singular in the sense that the
leading order differential operator may vanish. Although the noise is
disappearing in the limit, additional deterministic terms appear due to
renormalization effects.
  We give an abstract framework for the main error estimates, that first reduce
to bounds on a residual and in a second step to bounds on the stochastic
convolution. Moreover, we apply it to a singularly regularized Allen-Cahn
equation and the Cahn-Hilliard/Allen-Cahn homotopy.

28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat