Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unique ergodicity for a class of stochastic hyperbolic equations with
  additive space-time white noise   In this paper, we consider a certain class of second order nonlinear PDEs
with damping and space-time white noise forcing, posed on the $d$-dimensional
torus. This class includes the wave equation for $d=1$ and the beam equation
for $d\le 3$. We show that the Gibbs measure of the equation without forcing
and damping is the unique invariant measure for the flow of this system. Since
the flow does not satisfy the Strong Feller property, we introduce a new
technique for showing unique ergodicity. This approach may be also useful in
situations in which finite-time blowup is possible.

35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga