# The 1-harmonic flow with values into a hyper-octant of the $N$-sphere

created by moll on 04 Oct 2012
modified by giacomelli on 05 Jul 2016

[BibTeX]

Published Paper

Inserted: 4 oct 2012
Last Updated: 5 jul 2016

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.