Sharp regularity and Cauchy problem of the spatially homogeneous Boltzmann equation with Debye-Yukawa potential
Analysis of PDEs
2015-12-22 v1
Abstract
In this paper, we study the Cauchy problem for the linear spatially homogeneous Boltzamnn equation with Debye-Yukawa potential. Using the spectral decomposition of the linear operator, we prove that, for an initial datum in the sense of distribution which contains the dual of the Sobolev spaces, there exists a unique solution which belongs to a more regular Sobolev space for any positive time. We also study the sharp regularity of the solution.
Keywords
Cite
@article{arxiv.1512.06665,
title = {Sharp regularity and Cauchy problem of the spatially homogeneous Boltzmann equation with Debye-Yukawa potential},
author = {Léo Glangetas and Hao-Guang Li},
journal= {arXiv preprint arXiv:1512.06665},
year = {2015}
}
Comments
arXiv admin note: text overlap with arXiv:1212.4712 by other authors