Velocity averaging – a general framework
نویسندگان
چکیده
منابع مشابه
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: Dynamics of Partial Differential Equations
سال: 2012
ISSN: 1548-159X,2163-7873
DOI: 10.4310/dpde.2012.v9.n3.a3