Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stochastic evolution equations with singular drift and gradient noise
  via curvature and commutation conditions   We prove existence and uniqueness of solutions to a nonlinear stochastic
evolution equation on the $d$-dimensional torus with singular $p$-Laplace-type
or total variation flow-type drift with general sublinear doubling
nonlinearities and Gaussian gradient Stratonovich noise with divergence-free
coefficients. Assuming a weak defective commutator bound and a
curvature-dimension condition, the well-posedness result is obtained in a
stochastic variational inequality setup by using resolvent and Dirichlet form
methods and an approximative It\^{o}-formula.

22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs