= Relaxed graph-area functional
{title2=$A(u)=\int\sqrt{1+|\nabla u|^2}\,dx+|D^su|(\Omega)$}
For a <BV space> function with $Du=\nabla u\,dx+D^su$, relaxed graph area is $A(u)=\int\sqrt{1+|\nabla u|^2}\,dx+|D^su|(\Omega)$. Its dual <supremum> uses the coupled constraint $\varphi_0^2+|\varphi|^2\leq1$ in the pairing $\int(\varphi_0+u\operatorname{div}\varphi)$. It is convex and <lower semicontinuous> in $L^1$. Independent bounds on the two test fields define a different <functional>.
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