  We investigate the importance of unitarity corrections to parton evolution in
heavy flavor production at the LHC. The gluon distribution is determined with a
fit to HERA data applying a unified BFKL-DGLAP approach, in which the
non-linear evolution is described by the Balitsky-Kovchegov equation. First we
estimate b anti-b production at CDF and D0. Then, cross sections for heavy
quark production at various LHC experiments are estimated, tracing the impact
of the unitarity corrections.
