Semigeodesics and the Minimall Time Function

Nour, Chadi

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