It is shown that the collisional gain operator for a Maxwell gas does not increase the Fisher information. Our proof is a variant of the one given by Villani in 1998 [2], but it is shorter and based on Fourier techniques rather than direct estimates. The method we use also applies to general (non-symmetric) Wild convolutions.

Received: 2011-09-16
Accepted: 2011-12-15
Published online: 2012-01-01
DOI: 10.1016/j.crma.2011.12.010

@article{CRMATH_2012__350_1-2_107_0,
     author = {Daniel Matthes and Giuseppe Toscani},
     title = {Variation on a theme by {Bobyl\"ev} and {Villani}},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {107--110},
     publisher = {Elsevier},
     volume = {350},
     number = {1-2},
     year = {2012},
     doi = {10.1016/j.crma.2011.12.010},
     language = {en},
}

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Daniel Matthes; Giuseppe Toscani. Variation on a theme by Bobylëv and Villani. Comptes Rendus. Mathématique, Volume 350 (2012) no. 1-2, pp. 107-110. doi : 10.1016/j.crma.2011.12.010. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2011.12.010/