Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unique Continuation Properties for solutions to the Camassa-Holm
  equation and other non-local equations   It is shown that if $\,u(x,t)\,$ is a solution of the initial value problem
for the Camassa-Holm equation which vanishes in an open set $\,\Omega\subset
\mathbb R\times [0,T]$, then $\,u(x,t)=0,\,(x,t)\in\mathbb R\times [0,T]$. This
result also applies to solutions of the initial periodic boundary value
problems associated to the Camassa-Holm equation. The argument of proof can be
placed in a general setting to extend the above results to a class of
non-linear non-local 1-dimensional models which includes the Degasperis-Procesi
equation.

28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th