On Absolutely Minimizing Lipschitz Extensions and PDE $Δ_infty = 0$

Details On Absolutely Minimizing Lipschitz Extensions and PDE $Δ_infty = 0$ On Absolutely Minimizing Lipschitz Extensions and PDE $Δ_infty = 0$

2004-03-09

arxiv.org/abs/math/0403158v1

Mathematics

Functional Analysis

2004-02

Scientific paper

We prove the existence of Absolutely Minimizing Lipschitz Extensions by a method which differs from those used by G. Aronsson in general metrically convex compact metric spaces and R. Jensen in Euclidean spaces. Assuming Jensen's hypotheses, our method yields numerical schemes for computing, in euclidean $\mathbb R$, the solution of viscosity of equation $\Delta_\infty=0$ with Dirichlet's condition.

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