2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/117669Unitarization 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 $σ_{tot}$ and $ρ(s,t)$ at the LHC in the presence of a hard pomeron.4 pages, 3 figures, report at XXXIII IHEP, Moscow, July 26 - August 2, 2006High Energy Physics - Phenomenologytext