A Lipschitz regularity theorem

A Lipschitz regularity theorem

This paper gives a direct and elementary proof of the fact that under hypotheses of Tonelli type, solutions to the basic problem in the calculus of variations are Lipschitz when the Lagrangian is autonomous. This fact was first proved by Clarke and Vinter in 1985, using other methods.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Ergodic theory and dynamical systems 2007-12, Vol.27 (6), p.1713-1718
1. Verfasser: CLARKE, FRANCIS
Format: Artikel
Sprache:eng
Schlagworte:
Calculus of variations
Equality
Lagrange multiplier
Variables
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:This paper gives a direct and elementary proof of the fact that under hypotheses of Tonelli type, solutions to the basic problem in the calculus of variations are Lipschitz when the Lagrangian is autonomous. This fact was first proved by Clarke and Vinter in 1985, using other methods.
ISSN:0143-3857
1469-4417
DOI:10.1017/S0143385707000132