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Fractional order kinetic equations and hypoellipticity

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arxiv 1102.2161 v2 pith:GIHUX6N2 submitted 2011-02-10 math.AP

classification math.AP
keywords equationsestimatesfractionalkineticorderproofsbouchutdiffusion
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We give simple proofs of hypoelliptic estimates for some models of kinetic equations with a fractional order diffusion part. The proofs are based on energy estimates together with F. Bouchut and B. Perthame previous ideas.

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