  We investigate the black hole evaporation process in Lovelock gravity with
diverse dimensions. By selecting the appropriate coefficients, the space-time
solutions can possess a unique AdS vacuum with a fixed cosmological constant
$\Lambda=-\frac{(d-1)(d-2)}{2\ell^{2}}$. The black hole solutions can be
divided into two cases: $d>2k+1$ and $d=2k+1$. In the case of $d>2k+1$, the
black hole is in an analogy with the Schwarzschild AdS black hole, and the life
time is bounded by a time of the order of $\ell^{d-2k+1}$, which reduces Page's
result on the Einstein gravity in $k=1$. In the case of $d=2k+1$, the black
hole resembles the three dimensional black hole. The black hole vacuum
corresponds to $T=0$, so the black hole will take infinite time to evaporate
away for any initial states, which obeys the third law of thermodynamics. In
the asymptotically flat limit $\ell\rightarrow \infty$, the system reduces to
the pure Lovelock gravity that only possesses the highest $k$-th order term.
For a initial mass $M_0$, the life time of the black hole is in the order of
$M_0^{\frac{d-2k+1}{d-2k-1}}$.
