$L^p$-norms for the homogeneous non-cutoff Boltzmann equation with soft potentials
Analysis of PDEs
2024-06-06 v1
Abstract
We establish a priori estimates showing the propagation and generation of -norms for solutions to the non-cutoff spatially homogeneous Boltzmann equation with soft potentials. The singularity of the collision kernel is key to generate regularization and inhomogeneity in the energy estimates of the -norms. Our result extends \cite{Alo19} from the hard potential cases to the soft ones.
Cite
@article{arxiv.2406.02813,
title = {$L^p$-norms for the homogeneous non-cutoff Boltzmann equation with soft potentials},
author = {Matt Spragge and Weiran Sun},
journal= {arXiv preprint arXiv:2406.02813},
year = {2024}
}