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

François Golse; Maria Gualdani; Cyril Imbert; Alexis Vasseur

Journal articles

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 GW - Department of Mathematics [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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Journal articles

Domain :

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

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Submitted on : Saturday, June 1, 2019 - 1:13:15 PM
Last modification on : Monday, January 10, 2022 - 5:36:05 PM

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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