A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2021; you can also visit the original URL.
The file type is
In this note, we verify the conjecture of Barron, Evans and Jensen  regarding the characterization of viscosity solutions of general Aronsson equations in terms of the properties of associated forward and backwards Hamilton-Jacobi flows. A special case of this result is analogous to the characterization of infinity harmonic functions in terms of convexity and concavity of the functions r → max y∈B r (x) u(y) and r → min y∈B r (x) u(y), respectively. (2000) : 35J60 (primary); 49L25, 35F25doi:10.2422/2036-2145.2007.1.01 fatcat:scexejeybnbgnf6li3bddbseeu