Author

William Golding

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Preprint Aug 2026

Global smooth solutions to the inhomogeneous Landau-Fermi-Dirac equation

We consider the spatially inhomogeneous Landau-Fermi-Dirac equation with Coulomb potential, a quantum modification of the classical Landau equation for fermions. Mathematically, the Pauli exclusion principle manifests as an additional a priori $L^\infty$-bound for solutions. Using this bound, we propagate polynomial de...

William Golding, Christopher Henderson · 1 citation