Partial Regularity in Time for the Space Homogeneous Landau Equation with Coulomb Potential

2019/06/06 by Golse, François, Gualdani, Maria Pia, Imbert, Cyril +1 · 1 citation
#35B65 #35K15 (Primary) 35B44 (Secondary) #35Q20 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1906.02841

Abstract

We prove that the set of singular times for weak solutions of the space homogeneous Landau equation with Coulomb potential constructed as in [C. Villani, Arch. Rational Mech. Anal. 143 (1998), 273-307] has Hausdorff dimension at most 1/2.

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