Global well-posedness for the Boltzmann equation near vacuum holds in anisotropic Besov spaces with critical regularity index 2/p.
Carleman, Sur la th´ eorie de l’´ equation int´ egrodiff´ erentielle de Boltzmann (French).Acta Math.60 (1933), no
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Low-regularity global well-posedness for the Boltzmann equation near vacuum
Global well-posedness for the Boltzmann equation near vacuum holds in anisotropic Besov spaces with critical regularity index 2/p.