A selection criterion of solutions to a system of eikonal equations

A selection criterion of solutions to a system of eikonal equations

In this article we consider a system of eikonal equations with a Dirichlet boundary condition. We propose a variational method to select the class of solutions which minimize the discontinuity set of the gradient.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Advances in Calculus of Variations 2011-06, Vol.4 (3), p.309-338
Hauptverfasser: Croce, Gisella, Pisante, Giovanni
Format: Artikel
Sprache:eng
Schlagworte:
almost everywhere solutions
direct methods of the calculus of variations
Eikonal equation
Mathematics
special functions of bounded variation
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this article we consider a system of eikonal equations with a Dirichlet boundary condition. We propose a variational method to select the class of solutions which minimize the discontinuity set of the gradient.
ISSN:1864-8258
1864-8266
DOI:10.1515/acv.2011.003