The Bilateral Minimal Time Function

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dc.contributor.author Nour, C.
dc.date.accessioned 2016-03-30T09:58:03Z
dc.date.available 2016-03-30T09:58:03Z
dc.date.copyright 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 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 a recent article of F. H. Clarke and the author [J. Convex Analysis 11 (2004) 413--436]. 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.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 Journal of Convex Analysis en_US
dc.journal.volume 13 en_US
dc.journal.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), 61-80 en_US
dc.author.email chadi.nour@lau.edu.lb
dc.identifier.url https://www.heldermann.de/JCA/JCA13/JCA131/jca13005.htm
dc.orcid.id https://orcid.org/0000-0003-4378-7459
dc.author.affiliation Lebanese American University en_US

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