Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global null-controllability for stochastic semilinear parabolic
  equations   In this paper, we prove the small-time global null-controllability of forward
(resp. backward) semilinear stochastic parabolic equations with globally
Lipschitz nonlinearities in the drift and diffusion terms (resp. in the drift
term). In particular, we solve the open question posed by S. Tang and X. Zhang,
in 2009. We propose a new twist on a classical strategy for controlling linear
stochastic systems. By employing a new refined Carleman estimate, we obtain a
controllability result in a weighted space for a linear system with source
terms. The main novelty here is that the Carleman parameters are made explicit
and are then used in a Banach fixed point method. This allows to circumvent the
well-known problem of the lack of compactness embeddings for the solutions
spaces arising in the study of controllability problems for stochastic PDEs.

35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con