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Golse, F., Gualdani, M., Imbert, C. and Vasseur, A. (2019) Partial Regularity in Time for the Space Homogeneous Landau Equation with Coulomb Potential. Annales Scientifiques de l’école Normale Supérieure, In Press. ArXiv.1906.02841.

has been cited by the following article:

• TITLE: Verification of the Landau Equation and Hardy’s Inequality

  AUTHORS: Salih Yousuf Mohamed Salih

  KEYWORDS: Hardy’s Inequality, Sobolev Inequalities, the Landau Equation, L-Estimate

  JOURNAL NAME: Applied Mathematics, Vol.14 No.3, March 28, 2023

  ABSTRACT: We prove the L estimate for the isotropic version of the homogeneous landau problem, which was explored by M. Gualdani and N. Guillen. As shown in a region of the smooth potentials range under values of the interaction exponent (2), a weighted Poincaré inequality is a natural consequence of the traditional weighted Hardy inequality, which in turn implies that the norms of solutions propagate in the L1 space. Now, the L estimate is based on the work of De Giorgi, Nash, and Moser, as well as a few weighted Sobolev inequalities.