Total $\mathbb{A}$-variation flows

David Meyer

We study the $L^2$-gradient flows, ${\partial }_{t}u-\mathrm{div}(\mathrm{D}f(x,\mathbb{A}u))=0$, of functionals of the type ${\int }_{\Omega }f(x,\mathbb{A}u)\mathrm{d}x$, where $f$ is a conve…