The desorption kinetics from heterogeneous surfaces contain informatio
n on energy heterogeneity. Mathematical methods for extracting the ene
rgy distribution function from desorption kinetics are developed. The
overall desorption kinetics are described as weighted averages of the
local desorption kinetics from each energetically homogeneous zone for
ming the surface. Whatever the local kinetics, the energy distribution
is determined from the overall kinetics by using the condensation app
roximation. The method is applied to two situations: the time-logarith
m law observed in a lot of systems of practical interest in catalysis,
and the time-power law observed in many relaxation kinetics of macrom
olecules.