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PARTIAL REGULARITY IN TIME FOR THE SPACE HOMOGENEOUS LANDAU EQUATION WITH COULOMB POTENTIAL

François Golse 1 Maria Gualdani 2 Cyril Imbert 3, 4 Alexis Vasseur 5
1 CMLS - Centre de Mathématiques Laurent Schwartz
2 Department of Mathematics, The George Washington University
3 DMA - Département de Mathématiques et Applications - ENS Paris
4 CNRS - Centre National de la Recherche Scientifique
5 University of Texas at Austin [Austin]
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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https://hal-polytechnique.archives-ouvertes.fr/hal-02145096
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Submitted on : Saturday, June 1, 2019 - 1:13:15 PM
Last modification on : Tuesday, September 22, 2020 - 3:58:23 AM

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François Golse, Maria Gualdani, Cyril Imbert, Alexis Vasseur. PARTIAL REGULARITY IN TIME FOR THE SPACE HOMOGENEOUS LANDAU EQUATION WITH COULOMB POTENTIAL. 2019. ⟨hal-02145096⟩

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