The Bilateral Minimal Time Function

Nour, C.

dc.creator	Nour, C.	en_US
dc.date.accessioned	2016-03-30T09:58:03Z
dc.date.available	2016-03-30T09:58:03Z
dc.date.datecopyrighted	2006
dc.date.issued	2016-03-30
dc.identifier.issn	0944-6532	en_US
dc.identifier.uri	http://hdl.handle.net/10725/3447
dc.description.abstract	In this paper, we study the minimal time function as a function of two variables (the initial and the terminal points). This function, called the “bilateral minimal time function”, plays a central role in the study of the Hamilton-Jacobi equation of minimal control in a domain which contains the target set, as shown in [11]. We study the regularity of the function, and characterize it as the unique (viscosity) solution of partial Hamilton-Jacobi equations with certain boundary conditions.	en_US
dc.language.iso	en	en_US
dc.title	The Bilateral Minimal Time Function	en_US
dc.type	Article	en_US
dc.description.version	Published	en_US
dc.creator.school	SAS	en_US
dc.creator.identifier	200502681	en_US
dc.author.woa	N/A	en_US
dc.creator.department	Computer Science and Mathematics	en_US
dc.description.embargo	N/A	en_US
dc.relation.ispartof	Journal of Convex Analysis	en_US
dc.description.volume	13	en_US
dc.description.issue	1	en_US
dc.article.pages	61-80	en_US
dc.keywords	Minimal time function	en_US
dc.keywords	Hamilton-Jacobi equations	en_US
dc.keywords	Viscosity solutions	en_US
dc.keywords	Regularity of value functions	en_US
dc.keywords	Nonsmooth analysis	en_US
dc.keywords	Proximal analysis	en_US
dc.identifier.ctation	Nour, C. (2006). The bilateral minimal time function. Journal of Convex Analysis, 13(1), 61.	en_US
dc.creator.email	chadi.nour@lau.edu.lb
dc.identifier.url	http://www.heldermann.de/JCA/JCA13/JCA131/jca13005.htm