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

François Golse; Maria Gualdani; Cyril Imbert; Alexis Vasseur

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.

Document type :

Preprints, Working Papers, ...

Domain :

Mathematics [math] / Analysis of PDEs [math.AP]

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https://hal-polytechnique.archives-ouvertes.fr/hal-02145096
Contributor : François Golse <>
Submitted on : Saturday, June 1, 2019 - 1:13:15 PM
Last modification on : Wednesday, June 5, 2019 - 1:18:21 AM

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

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

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