Regularity of the moments of the solution of a Transport Equation

作者： François Golse , Pierre-Louis Lions , Benoît Perthame , Rémi Sentis

关键词: Bounded function 、 Space (mathematics) 、 Moment (mathematics) 、 Mathematics 、 Type (model theory) 、 Order (group theory) 、 Sobolev space 、 Measure (mathematics) 、 Convection–diffusion equation 、 Pure mathematics 、 Mathematical analysis

摘要: Let u = u(x, v) satisfy the Transport Equation u+v·∂ x u=f , x∈ R N , v∈ R N where f belongs to some space of type L p (dx ⊗ dμ(v)) (where μ is a positive bounded measure on R N ). We …