In this paper, the existence of almost periodic solutions corresponding to full-dimensional invariant tori is shown for a class of linear Schrödinger equations with almost periodic forcing subject to periodic boundary conditions. It is proved via an improved Kolmogorov-Arnold-Moser reducibility.

In this paper, we reduce a linear d-dimensional beam equation with an x-periodic and t-quasi-periodic potential for most values of the frequency vector via the KAM theorem. We focus on the measure estimates of small divisor conditions and the estimation on the coordinate transformation.