On the Boltzmann equation with soft potentials: Existence, uniqueness
and smoothing effect of mild solutions
On the Boltzmann equation with soft potentials: Existence, uniqueness
and smoothing effect of mild solutions
We consider the spatially inhomogeneous Boltzmann equation without angular cutoff for soft potentials. For any given initial datum such that the mass, energy and entropy densities are bounded and the mass is away from vacuum, we establish the local-in-time existence and uniqueness of mild solutions, and further provide the first …