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Local well-posedness for Boltzmanns equation and the Boltzmann hierarchy via Wigner transform

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 نشر من قبل Ryan Denlinger
 تاريخ النشر 2017
  مجال البحث
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We use the dispersive properties of the linear Schr{o}dinger equation to prove local well-posedness results for the Boltzmann equation and the related Boltzmann hierarchy, set in the spatial domain $mathbb{R}^d$ for $dgeq 2$. The proofs are based on the use of the (inverse) Wigner transform along with the spacetime Fourier transform. The norms for the initial data $f_0$ are weight

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