Partial Regularity in Time for the Space Homogeneous Landau Equation with Coulomb Potential

Alexis Vasseur; Cyril Imbert; Fran\c{c}ois Golse; Maria Pia Gualdani

arxiv: 1906.02841 · v1 · pith:QO3M2KUFnew · submitted 2019-06-06 · 🧮 math.AP

Partial Regularity in Time for the Space Homogeneous Landau Equation with Coulomb Potential

Fran\c{c}ois Golse , Maria Pia Gualdani , Cyril Imbert , Alexis Vasseur This is my paper

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keywords coulombequationhomogeneouslandaupotentialspaceanalarch

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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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Partial Regularity in Time for the Space Homogeneous Landau Equation with Coulomb Potential

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