  In this article we analyse the hydrodynamical behavior of the symmetric
exclusion process with long jumps and in the presence of a slow barrier. The
jump rates for fast bonds are given by a transition probability $p(\cdot)$
which is symmetric and has finite variance, while for slow bonds the jump rates
are given $p(\cdot)\alpha n^{-\beta}$ (with $\alpha>0$ and $\beta\geq 0$), and
correspond to jumps from $\mathbb{Z}_{-}^{*}$ to $\mathbb N$. We prove that: if
there is a fast bond from $\mathbb{Z}_{-}^{*}$ and $\mathbb N$, then the
hydrodynamic limit is given by the heat equation with no boundary conditions;
otherwise, it is given by the previous equation if $0\leq \beta<1$, but for
$\beta\geq 1$ boundary conditions appear, namely, we get Robin (linear)
boundary conditions if $\beta=1$ and Neumann boundary conditions if $\beta>1$.
