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

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

2009-09-03

arxiv.org/abs/0909.0647v1

Mathematics

Analysis of PDEs

Scientific paper

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.

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