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We consider the spatially homogeneous Boltzmann equation for hard potentialswithout cutoff. We prove that an exponential moment of order$\rho=\min\{2\gamma/(2-\nu),2\}$, with the usual notation, is immediatelycreated. This is stronger than what happens in the case with cutoff. We alsoshow that exponential moments of order $\rho\in (0,2]$ are propagated.

On exponential moments of the homogeneous Boltzmann equation for hard potentials without cutoff