Upper Maxwellian Bounds for the Spatially Homogeneous Boltzmann Equation
نویسندگان
چکیده
For the spatially homogeneous Boltzmann equation with cutoff hard potentials it is shown that solutions remain bounded from above, uniformly in time, by a Maxwellian distribution, provided the initial data have a Maxwellian upper bound. The main technique is based on a comparison principle that uses a certain dissipative property of the linear Boltzmann equation. Implications of the technique to propagation of upper Maxwellian bounds in the spatiallyinhomogeneous case are discussed.
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