Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the space-like analyticity in the extension problem for nonlocal
  parabolic equations   In this note we give an elementary proof of the space-like real analyticity
of solutions to a degenerate evolution problem that arises in the study of
fractional parabolic operators of the type $(\partial_t -
div_x(B(x)\nabla_x))^s$, $0<s<1$. Our primary interest is in the so-called
\emph{extension variable}. We show that weak solutions that are even in such
variable, are in fact real-analytic in the totality of the space variables. As
an application of this result we prove the weak unique continuation property
for nonlocal parabolic operators of the type above, where $B(x)$ is a uniformly
elliptic matrix-valued function with real-analytic entries.

13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn