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Bibliographic Details
Main Authors: Spragge, Matt, Sun, Weiran
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2406.02813
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Table of Contents:
  • We establish a priori estimates showing the propagation and generation of $L^p$-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 $L^p$-norms. Our result extends \cite{Alo19} from the hard potential cases to the soft ones.