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arxiv: 1106.0918 · v1 · pith:HXEOIBKLnew · submitted 2011-06-05 · 🧮 math.AP

Global hypoelliptic estimates for a linear model of non-cutoff Boltzmann equation

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keywords linearmodelboltzmannequationglobalhypoellipticangularcutoff
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In this paper we study a linear model of spatially inhomogeneous Boltzmann equation without angular cutoff. Using the multiplier method introduced by F. H\'{e}rau and K. Pravda-Starov (2011), we establish the optimal global hypoelliptic estimate with weights for the linear model operator

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