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.
2013
lower semi-continuity and relaxation; total variation flow; 1-harmonic flow; non-convex variational problems; image processing; geodesic; partial differential equations; harmonic flows
01 Pubblicazione su rivista::01a Articolo in rivista
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]
File allegati a questo prodotto
File Dimensione Formato  
Giacomelli-Mazon-Moll-2013-AML.pdf

solo gestori archivio

Tipologia: Versione editoriale (versione pubblicata con il layout dell'editore)
Licenza: Tutti i diritti riservati (All rights reserved)
Dimensione 378.13 kB
Formato Adobe PDF
378.13 kB Adobe PDF   Contatta l'autore

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/491874
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 2
  • ???jsp.display-item.citation.isi??? 2
social impact