Unitarization schemes can be reduced to non-linear equations which saturate
at small b the evolution of the elastic amplitude with s, and which mimic
parton saturation in the non-perturbative regime. These equations enable us to
study the effect of saturation on total and elastic cross sections for various
models, and to evaluate the uncertainties on σtot and ρ(s,t) at
the LHC in the presence of a hard pomeron.Comment: 4 pages, 3 figures, report at XXXIII IHEP, Moscow, July 26 - August
2, 200