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arxiv: 0910.1291 · v2 · submitted 2009-10-07 · 🧮 math.AP

Analytic smoothness effect of solutions for spatially homogeneous Landau equation

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keywords effectanalyticcaseequationhomogeneouslandausmoothnesssolutions
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In this paper, we study the smoothness effect of Cauchy problem for the spatially homogeneous Landau equation in the hard potential case and the Maxwellian molecules case. We obtain the analytic smoothing effect for the solutions under rather weak assumptions on the initial datum.

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