Semigeodesics and the Minimall Time Function
We study the Hamilton-Jacobi equation of the minimal time function in a domain which contains the target set. We generalize the results of Clarke and Nour [J. Convex Anal., 2004], where the target set is taken to be a single point. As an application, we give necessary and sufficient conditions for t...
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| Format: | article |
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2006
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| Online Access: | http://hdl.handle.net/10725/3440 http://dx.doi.org/ 10.1051/cocv:2005032 https://www.esaim-cocv.org/articles/cocv/abs/2006/01/cocv0443/cocv0443.html |
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| Summary: | We study the Hamilton-Jacobi equation of the minimal time function in a domain which contains the target set. We generalize the results of Clarke and Nour [J. Convex Anal., 2004], where the target set is taken to be a single point. As an application, we give necessary and sufficient conditions for the existence of solutions to eikonal equations. |
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