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2007, 2007(Special): 779-783. doi: 10.3934/proc.2007.2007.779

Construction of solutions to a global Eikonal equation

Chadi Nour 1,

1. 

Computer Science and Mathematics Division, Lebanese American University, Byblos Campus, P.O. Box 36, Byblos, Lebanon

Received  September 2006 Revised  April 2007 Published  September 2007

We give a new and simple proof to the main result of [8] in which we derived a geometric necessary and sufficient condition for the existence of solutions to a global eikonal equation.
Keywords: Hamilton-Jacobi equations., gauge function, proximal and viscosity solutions, Eikonal equations.
Mathematics Subject Classification: Primary: 49J52, 49L25; Secondary: 49L2.
Citation: Chadi Nour. Construction of solutions to a global Eikonal equation. Conference Publications, 2007, 2007 (Special) : 779-783. doi: 10.3934/proc.2007.2007.779
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