  The effect of local density of states (LDOS) fluctuations on the dynamics of
a Kondo impurities in a small metallic point contact (PC) is studied. To
estimate the spatial and energy dependent LDOS fluctuations we investigate a
model PC by means of a transfer matrix formalism. For small PC's in the
nanometer scale we find that near to the orifice strong LDOS fluctuations
develop. These fluctuations may shift the Kondo temperature by several orders
of magnitude, and result in a strong broadening of the PC Kondo peak in
agreement with the results of recent measurements.
