Uniqueness of bounded solutions for the homogeneous Landau equation with a Coulomb potential
classification
🧮 math.AP
keywords
solutionsboundedcoulombequationhomogeneouslocalpotentialuniqueness
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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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