Construction of solutions to a global Eikonal equation

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

Construction of solutions to a global Eikonal equation

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

Abstract
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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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