Existence of smooth solutions to the Landau-Fermi-Dirac equation with Coulomb potential

In this paper, we prove global-in-time existence and uniqueness of smooth solutions to the homogeneous Landau-Fermi-Dirac equation with Coulomb potential. The initial conditions are nonnegative, bounded and integrable. We also show that any weak solution converges towards the steady state given by t...

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Bibliographische Detailangaben

Hauptverfasser:	Golding, William, Gualdani, Maria Pia, Zamponi, Nicola
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Analysis of PDEs
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