The time dependence of the photoluminescence signal is calculated for a the
rmalized population of excitons in quantum well heterostructures. A thermal
equilibrium between excitons and free carriers either in the well or in th
e barrier is assumed. The result of our calculations is compared to experim
ental data obtained on shallow quantum wells. We show that the decay of the
ir excitonic photoluminescence has very little to do with the true exciton
decay time.