Sharp regularity properties for the non-cutoff spatially homogeneous Boltzmann equation
Sharp regularity properties for the non-cutoff spatially homogeneous Boltzmann equation
In this work, we study the Cauchy problem for the spatially homogeneous non-cutoff Boltzamnn equation with Maxwellian molecules. We prove that this Cauchy problem enjoys Gelfand-Shilov regularizing effect, that means the smoothing properties is same as the Cauchy problem defined by the evolution equation associated to a fractional harmonic oscillator. …