The 1-Harmonic Flow with Values into S1


We introduce a notion of solution for the 1-harmonic flow, i.e., the formal gradient flow of the total variation functional with respect to the L2-distance, from a domain of Rm into a geodesically convex subset of an N-sphere. For such a notion, under homogeneous Neumann boundary conditions, we prove both existence and uniqueness of solutions when the… (More)
DOI: 10.1137/12088402X


Cite this paper

@article{Giacomelli2013The1F, title={The 1-Harmonic Flow with Values into S1}, author={Lorenzo Giacomelli and Jos{\'e} M. Maz{\'o}n and Salvador Moll}, journal={SIAM J. Math. Analysis}, year={2013}, volume={45}, pages={1723-1740} }