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Existence of solutions to a global eikonal equation |
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| Authors: | C. Nour |
| Affiliation: | Computer Sciences and Mathematics Division, Lebanese American University, Byblos Campus, P.O. Box 36, Byblos, Lebanon |
| Abstract: | We derive a geometric necessary and sufficient condition for the existence of solutions to a global eikonal equation. We also study the existence of a minimal solution to this equation, and its relation with the well-known minimal time function. |
| Keywords: | Eikonal equations Hamilton&ndash Jacobi equations Proximal and viscosity solutions Gauge function Minimal time function Minimal trajectories |
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