A New Class of Weak Solutions of the Navier–Stokes Equations with Nonhomogeneous Data

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Existence and Regularity of Very Weak Solutions of the Stationary Navier–Stokes Equations (2009, methodology): “A comprehensive theory of very weak solutions of the Stokes equations has been developed by Farwig et al. [4, 5 ] and Galdi et al. [9] for two and three dimensions: existence, uniqueness and a priori estimate are proved for very weak solutions in L q (Ω) with 1 5 ,9] for similar results in two and ”
Stokes and Navier-Stokes equations with nonhomogeneous boundary conditions (2007, methodology): “It consists in solving the stationary Stokes problem − w(t) + ∇π(t) = 0 and div w(t) = 0 in Ω, w(t) = g(t) on Γ, for all t ∈ [0, T ], and looking for the equation satisfied by u − w. Farwig, Galdi and Sohr [7] prove new regularity results for the Stokes equations when g belongs to some classes of Ba”
Anisotropic function spaces and maximal regularity for parabolic problems Part 1: Function spaces (2009, unknown): “Sohr [24], R.”