id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-4934	Wunderli, Thomas	Approximation of BV space-defined functionals containing piecewise integrands with $L^{1}$ condition	2023	10	.pdf	application/pdf	3225	196	85	Note that rK(x) = ψ(x) and hence zk ≥ 0. Then for all u ∈ BV (Ω) we have G(u) = ∫ Ω φ(x,∇u) dx+ ∫ Ω ψ(x)|Dsu| (3) dx = − ∫ Ω udiv(ϕ1ηε1 ∗ ϕ) + φ∗ ω(ε1) (x, ϕ1ηε1 ∗ ϕ) dx + ∫ Ω φ∗ ω(ε1) (x, ϕ1ηε1 ∗ ϕ)− φ∗ ω(ε1) (x, ηε1 ∗ ϕ) dx.	cache/ejpam-4934.pdf	txt/ejpam-4934.txt