| 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 |