2019
DOI: 10.48550/arxiv.1910.06216
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Uniqueness of higher integrable solution to the Landau equation with Coulomb interactions

Abstract: We are concerned with the uniqueness of weak solution to the spatially homogeneous Landau equation with Coulomb interactions under the assumption that the solution is bounded in the space L ∞ (0, T, L p (R 3 )) for some p > 3/2. The proof uses a weighted Poincaré-Sobolev inequality recently introduced in [10].

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