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Journal Articles Annales Scientifiques de l'École Normale Supérieure Year : 2022

Partial regularity in time for the space homogeneous Landau equation with Coulomb potential

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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Dates and versions

hal-02145096 , version 1 (01-06-2019)

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François Golse, Maria Pia Gualdani, Cyril Imbert, Alexis Vasseur. Partial regularity in time for the space homogeneous Landau equation with Coulomb potential. Annales Scientifiques de l'École Normale Supérieure, 2022, 55 (4ème série) (6), pp.1575-1611. ⟨10.24033/asens.2524⟩. ⟨hal-02145096⟩
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