Browsing by Author "Shaw, Giles"

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  • Strictly continuous extension of functionals with linear growth to the space BV 

    Rindler, Filip; Shaw, Giles (Oxford University PressThe Quarterly Journal of Mathematics, 2015-06-24)
    In this paper, we prove that the integral functional F[u]: BV(Ω;ℝ^m) → ℝ defined by F[u] := ∫_Ω f(x,u(x),∇u(x))dx + ∫_Ω ∫_1^0 f^∞ (x, u^θ (x), (d D^s u)/(d |D^s u|) (x) is continuous over BV(Ω;ℝ^m), with respect to ...