, Volume 135, Issue 1, pp 293-318

Pairings between measures and bounded functions and compensated compactness

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Summary

For all vectorfields ψ ε L(Ω,R n) whose divergence is in Ln(Ω) and for all vector measures Μ in Ω whose curl is a measure we define a real valued measure (ψ, Μ) in Ω, that can be considered a suitable generalization of the scalar product of ψ and Μ. Several properties of the pairing (ψ, Μ) are then obtained.