Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stochastic logarithmic Schrodinger equations: energy regularized
  approach   In this paper, we prove the global existence and uniqueness of the solution
of the stochastic logarithmic Schr\"odinger (SlogS) equation driven by additive
noise or multiplicative noise. The key ingredient lies on the regularized
stochastic logarithmic Schr\"odinger (RSlogS) equation with regularized energy
and the strong convergence analysis of the solutions of (RSlogS) equations. In
addition, temporal H\"older regularity estimates and uniform estimates in
energy space $\mathbb H^1(\mathcal O)$ and weighted Sobolev space
$L^2_{\alpha}(\mathcal O)$ of the solutions for both SlogS equation and RSlogS
equation are also obtained.

9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int