Absolutely minimizing Lipschitz extension with discontinuous boundary data;Extensions absolument minimales Lipschitziennes avec conditions aux limites discontinues

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 327, Issue 6, 1998, Pages 563-568

  Cao, Frédéric ^a  

^a UNIVERSITÉ PARIS SACLAY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032159693     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(98)89164-7     Document Type: Article

References (6)

1. [1] Crandall M.G., Ishii H., Lions P.L., User's Guide to Viscosity Solution of Second Order Partial Differential Equations, Bull. Amer. Math. Soc. 27 (1992) 1-67.
2. [2] Aronsson G., Extensions of functions satisfying Lipschitz conditions, Ark för Mat. 6 (1967) 551-561.
3. [3] Jensen R., Uniqueness of Lipschitz extension: minimizing the Sup Norm of the gradient, Arch. Rat. Mech. Anal. 123 (1993) 51-74.
4. [4] Caselles V., Morel J.M., Sbert C., An Axiomatic Approach to Image Interpolation, Preprint, 1996.
5. [5] Cao F., PhD Thesis (to appear).
6. [6] Juutinen P., Minimization Problems for Lipschitz functions via Viscosity Solutions, University of Jyvskyl, Finland, PhD, 1998.