Feb 1, 1994
Transport Theory and Statistical Physics
Abstract Recently Desvillettes proved that the solutions to the space homogeneous Boltzmann equation possess all moments, provided that the initial data have 2 + ∊ moments in L 1. Here an alternative proof of this statement is presented, together with a proof that the result does not hold for pseudo-Maxwellian molecules. Two implications of the result are discussed: an analogous L p-result and an improved uniqueness result.