Probability Metrics and Uniqueness of the Solution to the Boltzmann Equation for a Maxwell Gas |
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| Authors: | Toscani G. Villani C. |
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| Affiliation: | (1) Department of Mathematics, University of Pavia, 27100 Pavia, Italy;(2) Ecole Normale Supérieure, DMI, 75230 Paris Cedex 05, France |
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| Abstract: | We consider a metric for probability densities with finite variance on  d, and compare it with other metrics. We use it for several applications both in probability and in kinetic theory. The main application in kinetic theory is a uniqueness result for the solution of the spatially homogeneous Boltzmann equation for a gas of true Maxwell molecules. |
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| Keywords: | spatially homogeneous Boltzmann equation probability metrics Maxwellian molecules |
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