Gelfand–Shilov smoothing properties of the radially symmetric spatially homogeneous Boltzmann equation without angular cutoff

https://doi.org/10.1016/j.jde.2013.10.001Get rights and content
Under an Elsevier user license
open archive

Abstract

We prove that the Cauchy problem associated to the radially symmetric spatially homogeneous non-cutoff Boltzmann equation with Maxwellian molecules enjoys the same Gelfand–Shilov regularizing effect as the Cauchy problem defined by the evolution equation associated to a fractional harmonic oscillator.

MSC

35Q20
35B65

Keywords

Boltzmann equation
Gelfand–Shilov smoothing effect

Cited by (0)