  The correlation often observed in blazars between optical-to-radio outbursts
and gamma-ray flares suggests that the high-energy emission region shall be
co-spatial with the radio knots, several parsecs away from the central engine.
This would prevent the important contribution at high-energies from the Compton
scattering of seed photons from the accretion disk and the broad-line region
that is generally used to model the spectral energy distribution of
low-frequency peaking blazars. While a pure synchrotron self-Compton model has
so far failed to explain the observed gamma-ray emission of a flat spectrum
radio quasar like 3C 279, the inclusion of the effect of multiple
inverse-Compton scattering might solve the apparent paradox. Here, we present
for the first time a physical, self-consistent SSC modeling of a series of
shock-waves in the jet of 3C 279. We show that the analytic description of the
high-energy emission from multiple inverse-Compton scatterings in the
Klein-Nishina limit can fairly well account for the observed gamma-ray spectrum
of 3C 279 in flaring states.
