Semigeodesics and the Minimall Time Function

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dc.contributor.author Nour, Chadi
dc.date.accessioned 2016-03-30T08:36:54Z
dc.date.available 2016-03-30T08:36:54Z
dc.date.copyright 2006
dc.date.issued 2016-03-30
dc.identifier.issn 1292-8119 en_US
dc.identifier.uri http://hdl.handle.net/10725/3440
dc.description.abstract 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. en_US
dc.language.iso en en_US
dc.title Semigeodesics and the Minimall Time Function en_US
dc.type Article en_US
dc.description.version Published en_US
dc.author.school SAS en_US
dc.author.idnumber 200502681 en_US
dc.author.woa N/A en_US
dc.author.department Computer Science and Mathematics en_US
dc.description.embargo N/A en_US
dc.relation.journal ESAIM: Control, Optimisation and Calculus of Variations en_US
dc.journal.volume 12 en_US
dc.journal.issue 1 en_US
dc.article.pages 120-138 en_US
dc.keywords Minimal time function en_US
dc.keywords Hamilton-Jacobi equations en_US
dc.keywords Viscosity solutions en_US
dc.keywords Minimal trajectories en_US
dc.keywords Eikonal equations en_US
dc.keywords Monotonicity of trajectories en_US
dc.keywords Proximal analysis en_US
dc.keywords Nonsmooth analysis en_US
dc.identifier.doi http://dx.doi.org/ 10.1051/cocv:2005032 en_US
dc.identifier.ctation Nour, C. (2006). Semigeodesics and the minimal time function. ESAIM: Control, Optimisation and Calculus of Variations, 12(1), 120-138. en_US
dc.author.email chadi.nour@lau.edu.lb
dc.identifier.url https://www.esaim-cocv.org/articles/cocv/abs/2006/01/cocv0443/cocv0443.html
dc.orcid.id https://orcid.org/0000-0003-4378-7459
dc.author.affiliation Lebanese American University en_US

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