Some A priori estimates for the homogeneous Landau equation with soft potentials
type: Dataset
contact point: Organization
  fn: CCSD
keyword: infoeu-reposemanticspreprint
keyword: preprints-working-papers-
keyword: 84c40
keyword: 35h10
keyword: 76p05
keyword: mathmath-apmathematics-mathanalysis-of-pdes-mathap
landing page: https://hal.science/hal-00786128
description: This paper deals with the derivation of some á priori estimates for the homogeneous Landau equation with soft potentials. Using the coercivity of the Landau operator for soft potentials, we prove a global estimate of weak solutions in $L^2$ space without any smallness assumption on the initial data for $ -2 < \gamma <0$. For the stronger case $ -3 \leq \gamma \leq -2$, which covers in particular the Coulomb case, we get such a global estimate, but in some weighted $L^2$ space and under a smallness assumption on initial data.
issued: 2026-05-11T20:21:44.636195
language: en
modified: 2026-05-11T20:21:44.636200

test_moissonnage_selune
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Some A priori estimates for the homogeneous Landau equation with soft potentials
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access URL: https://hal.science/hal-00786128
format: HTML
issued: 2026-05-11T20:21:44.687150
modified: 2026-05-11T20:21:44.622299