We announce existence results for the 1-harmonic flow from a domain of R-m into the first hyper-octant of the N-dimensional unit sphere, under homogeneous Neumann boundary conditions. The arguments rely on a notion of "geodesic representative" of a BV-vector field on its jump set. (c) 2013 Elsevier Ltd. All rights reserved.
Solutions to the 1-harmonic flow with values into a hyper-octant of the N-sphere / Giacomelli, Lorenzo; J. M., Mazon; S., Moll. - In: APPLIED MATHEMATICS LETTERS. - ISSN 0893-9659. - STAMPA. - 26:11(2013), pp. 1061-1064. [10.1016/j.aml.2013.05.016]
Solutions to the 1-harmonic flow with values into a hyper-octant of the N-sphere
GIACOMELLI, Lorenzo;
2013
Abstract
We announce existence results for the 1-harmonic flow from a domain of R-m into the first hyper-octant of the N-dimensional unit sphere, under homogeneous Neumann boundary conditions. The arguments rely on a notion of "geodesic representative" of a BV-vector field on its jump set. (c) 2013 Elsevier Ltd. All rights reserved.File allegati a questo prodotto
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