Partial regularity in time for the space-homogeneous Boltzmann equation with very soft potentials
Abstract
We prove that the set of singular times for weak solutions of the homogeneous Boltzmann equation with very soft potentials constructed as in Villani (1998) has Hausdorff dimension at most $\frac{|\gamma+2s|}{2s}$ with $\gamma \in [-4s,-2s)$ and $s \in (0,1)$.
Domains
Analysis of PDEs [math.AP]
Origin : Files produced by the author(s)