Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590265 | Journal of Functional Analysis | 2014 | 22 Pages |
Abstract
This paper deals with some global in time a priori estimates of the spatially homogeneous Landau equation for soft potentials γâ[â2,0). For the first result, we obtain the estimate of weak solutions in LtαLv3âε for α=2(3âε)3(2âε) and 0<ε<1, which is an improvement over estimates by Fournier and Guerin [10]. For the second result, we have the estimate of weak solutions in LtâLvp, p>1, which extends part of results by Fournier and Guerin [10] and Alexandre, Liao and Lin [1]. As an application, we deduce some global well-posedness results for γâ[â2,0). Our estimates include the case γ=â2, which is the key point in this paper.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Kung-Chien Wu,