The specific heat of the superfluid neutrons in the inner crust of a n
eutron star, where neutron-rich nuclei in a Coulomb lattice are permea
ted by a gas of unbound neutrons, is studied in the framework of a sem
iclassical model based on the local density approximation, in order to
describe the nonuniform pairing gap in the Wigner-Seitz cell. We have
found that the specific heat of this superfluid system in a relevant
range of densities and temperatures for the crust, has a value conside
rably larger than that associated with a uniform neutron superfluid Th
is result may have relevance in the study of the thermal evolution of
neutron stars.