About L P Estimates for the Spatially Homogeneous Boltzmann Equation

نویسنده

  • Laurent Desvillettes
چکیده

For the homogeneous Boltzmann equation with (cutoo or non cutoo) hard potentials, we prove estimates of propagation of L p norms with a weight (1+jxj 2) q=2 (1 < p < +1, q 2 R large enough), as well as appearance of such weights. The proof is based on some new functional inequalities for the collision operator, proven by elementary means.

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تاریخ انتشار 2003