Global solutions to the Landau-Fermi-Dirac equation

Fuente: arXiv
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Autore principale: Sampaio, Paulo
Natura: Preprint
Pubblicazione: 2024
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author Sampaio, Paulo
author_facet Sampaio, Paulo
contents We establish a compactness result for solutions of a certain class of hypoelliptic equations. This result allows us to show the existence of global weak solutions to the non-homogeneous Landau-Fermi-Dirac equation with Coulomb potential.
format Preprint
id arxiv_https___arxiv_org_abs_2410_12681
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Global solutions to the Landau-Fermi-Dirac equation
Sampaio, Paulo
Analysis of PDEs
We establish a compactness result for solutions of a certain class of hypoelliptic equations. This result allows us to show the existence of global weak solutions to the non-homogeneous Landau-Fermi-Dirac equation with Coulomb potential.
title Global solutions to the Landau-Fermi-Dirac equation
topic Analysis of PDEs
url https://arxiv.org/abs/2410.12681