paper

Small eigenvalues of the low temperature linear relaxation Boltzmann equation with a confining potential

arXiv:1410.8738 · doi:10.1007/s00023-015-0410-4

Abstract

We study the linear relaxation Boltzmann equation, a simple semiclassical kinetic model. We provide a resolvent estimate for an associated non-selfadjoint operator as well as an estimate on the return to equilibrium. This is done using a scaling argument and non-semiclassical hypocoercive estimate.

17 pages

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