  We rapidly change the scattering length a_s of a 87Rb Bose-Einstein
condensate by means of a Feshbach resonance, simultaneously releasing the
condensate from its harmonic trapping potential. When a_s is changed from
positive to negative, the subsequent collapse of the condensate is stabilized
by the kinetic energy imparted during the release, resulting in a deceleration
of the loss rate near the resonance. We also observe an increase in the
Thomas-Fermi radius, near the resonance, that cannot be understood in terms of
a simple scaling model. Instead, we describe this behavior using the
Gross-Pitaevskii equation, including three-body recombination, and hypothesize
that the increase in cloud radius is due to the formation of concentric shells.
