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                                       Details for article 4 of 8 found articles
 
 
  Generalized Cone Comparison Principle for Viscosity Solutions of the Aronsson Equation and Absolute Minimizers
 
 
Title: Generalized Cone Comparison Principle for Viscosity Solutions of the Aronsson Equation and Absolute Minimizers
Author: Gariepy, Ronald
Wang, Changyou
Yu, Yifeng
Appeared in: Communications in partial differential equations
Paging: Volume 31 (2006) nr. 7 pages 1027-1046
Year: 2006-06-01
Contents: For any non-negative, quasi-convex Hamiltonian H ∈ C2(Rn), we consider the L∞-functional F(u, ·) = ‖H(∇ u)‖L∞(·) over [image omitted]. We introduce the notion of comparison with generalized cones (abbreviated CGC) and prove that CGC, viscosity solutions of the Aronsson equation, and absolute minimizers of F(·) are equivalent. This extends an earlier result by Crandall et al. (2001).
Publisher: Taylor & Francis
Source file: Elektronische Wetenschappelijke Tijdschriften
 
 

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