Published Paper

Inserted: 4 oct 2012
Last Updated: 4 feb 2021

Journal: Analysis & PDE
Year: 2014

Abstract:

Existence of solutions to the $1$-harmonic flow – i.e., the formal gradient flow of the total variation functional with respect to the $L^2$-distance – from a domain of $\mathbb R^m$ into an hyper-octant of the $N$-dimensional unit sphere is proved, under homogeneous Neumann boundary conditions.

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