Uniqueness of bounded solutions for the homogeneous Landau equation with a Coulomb potential

Abstract

We prove the uniqueness of bounded solutions for the spatially homogeneous Fokker-Planck-Landau equation with a Coulomb potential. Since the local (in time) existence of such solutions has been proved by Arsen'ev-Peskov (1977), we deduce a local well-posedness result. The stability with respect to the initial condition is also checked.

References in corpus (2)

• On the uniqueness for the spatially homogeneous Boltzmann equation with a strong angular singularity
• On the well-posedness of the spatially homogeneous Boltzmann equation with a moderate angular singularity

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