Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Properties of the density for a three dimensional stochastic wave
  equation   We consider a stochastic wave equation in space dimension three driven by a
noise white in time and with an absolutely continuous correlation measure given
by the product of a smooth function and a Riesz kernel. Let $p_{t,x}(y)$ be the
density of the law of the solution $u(t,x)$ of such an equation at points
$(t,x)\in]0,T]\times \IR^3$. We prove that the mapping $(t,x)\mapsto
p_{t,x}(y)$ owns the same regularity as the sample paths of the process
$\{u(t,x), (t,x)\in]0,T]\times \mathbbR^3\}$ established Dalang and Sanz-Sol\'e
[Memoirs of the AMS, to appear]. The proof relies on Malliavin calculus and
more explicitely, Watanabe's integration by parts formula and estimates derived
form it.

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The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
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The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom