Recent progress in velocity averaging

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چکیده

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Some New Velocity Averaging Results

Let (R, μ) be a nonatomic finite measure space and E = Lr(R, μ) a Lebesgue space over R. Then we consider tempered distributions f and g (depending on x ∈ Rn and v ∈ R), for which divx(af) = g in S′(Rn, E). Here a : R −→ Rn is a bounded function of v (a velocity field) satisfying a nondegeneracy condition. We study the regularity of the average f̄ = R R f(·, v)ψ(v) dμ(v) ∈ S′(Rn) (with ψ ∈ Lr (R...

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ژورنال

عنوان ژورنال: Journées Équations aux dérivées partielles

سال: 2015

ISSN: 0752-0360,2118-9366

DOI: 10.5802/jedp.630